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Chapter 5: Fraction Foundations

Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.

Grade 4Beginner Friendly10 Examples Per Topic30 Q&APractice + Review
Estimated reading time0% read
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Chapter Overview

This chapter teaches Fraction Foundations in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.

5.1 What a fraction represents

A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A model has 4 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/4

Worked Example 2

Problem: A model has 3 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/3

Worked Example 3

Problem: A model has 5 equal parts and 5 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 5/5

Worked Example 4

Problem: A model has 10 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/10

Worked Example 5

Problem: A model has 8 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/8

Worked Example 6

Problem: A model has 6 equal parts and 5 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 5/6

Worked Example 7

Problem: A model has 5 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/5

Worked Example 8

Problem: A model has 5 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/5

Worked Example 9

Problem: A model has 10 equal parts and 8 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 8/10

Worked Example 10

Problem: A model has 6 equal parts and 5 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 5/6

Practice Exercise

Create and solve one new example of What a fraction represents. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.2 Equal parts

Equal parts is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Equal parts using the numbers 16 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 2

Problem: Create a simple Grade 4 example about Equal parts using the numbers 11 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 3

Problem: Create a simple Grade 4 example about Equal parts using the numbers 8 and 20.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 4

Problem: Create a simple Grade 4 example about Equal parts using the numbers 14 and 13.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 5

Problem: Create a simple Grade 4 example about Equal parts using the numbers 9 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 6

Problem: Create a simple Grade 4 example about Equal parts using the numbers 9 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 7

Problem: Create a simple Grade 4 example about Equal parts using the numbers 17 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 8

Problem: Create a simple Grade 4 example about Equal parts using the numbers 11 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 9

Problem: Create a simple Grade 4 example about Equal parts using the numbers 20 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Worked Example 10

Problem: Create a simple Grade 4 example about Equal parts using the numbers 10 and 16.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Equal parts.

Practice Exercise

Create and solve one new example of Equal parts. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.3 Numerator

Numerator is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Numerator using the numbers 18 and 17.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 2

Problem: Create a simple Grade 4 example about Numerator using the numbers 12 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 3

Problem: Create a simple Grade 4 example about Numerator using the numbers 14 and 15.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 4

Problem: Create a simple Grade 4 example about Numerator using the numbers 20 and 16.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 5

Problem: Create a simple Grade 4 example about Numerator using the numbers 4 and 12.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 6

Problem: Create a simple Grade 4 example about Numerator using the numbers 16 and 19.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 7

Problem: Create a simple Grade 4 example about Numerator using the numbers 5 and 6.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 8

Problem: Create a simple Grade 4 example about Numerator using the numbers 18 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 9

Problem: Create a simple Grade 4 example about Numerator using the numbers 7 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Worked Example 10

Problem: Create a simple Grade 4 example about Numerator using the numbers 10 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Numerator.

Practice Exercise

Create and solve one new example of Numerator. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.4 Denominator

Denominator is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Denominator using the numbers 14 and 9.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 2

Problem: Create a simple Grade 4 example about Denominator using the numbers 5 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 3

Problem: Create a simple Grade 4 example about Denominator using the numbers 7 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 4

Problem: Create a simple Grade 4 example about Denominator using the numbers 14 and 20.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 5

Problem: Create a simple Grade 4 example about Denominator using the numbers 12 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 6

Problem: Create a simple Grade 4 example about Denominator using the numbers 18 and 12.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 7

Problem: Create a simple Grade 4 example about Denominator using the numbers 3 and 15.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 8

Problem: Create a simple Grade 4 example about Denominator using the numbers 17 and 20.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 9

Problem: Create a simple Grade 4 example about Denominator using the numbers 10 and 15.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Worked Example 10

Problem: Create a simple Grade 4 example about Denominator using the numbers 10 and 10.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Denominator.

Practice Exercise

Create and solve one new example of Denominator. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.5 Halves

Halves is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Halves using the numbers 4 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 2

Problem: Create a simple Grade 4 example about Halves using the numbers 19 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 3

Problem: Create a simple Grade 4 example about Halves using the numbers 19 and 16.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 4

Problem: Create a simple Grade 4 example about Halves using the numbers 2 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 5

Problem: Create a simple Grade 4 example about Halves using the numbers 18 and 18.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 6

Problem: Create a simple Grade 4 example about Halves using the numbers 4 and 13.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 7

Problem: Create a simple Grade 4 example about Halves using the numbers 8 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 8

Problem: Create a simple Grade 4 example about Halves using the numbers 5 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 9

Problem: Create a simple Grade 4 example about Halves using the numbers 6 and 6.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Worked Example 10

Problem: Create a simple Grade 4 example about Halves using the numbers 6 and 12.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Halves.

Practice Exercise

Create and solve one new example of Halves. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.6 Thirds

A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A model has 3 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/3

Worked Example 2

Problem: A model has 8 equal parts and 7 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 7/8

Worked Example 3

Problem: A model has 6 equal parts and 6 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 6/6

Worked Example 4

Problem: A model has 3 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/3

Worked Example 5

Problem: A model has 3 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/3

Worked Example 6

Problem: A model has 3 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/3

Worked Example 7

Problem: A model has 10 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/10

Worked Example 8

Problem: A model has 8 equal parts and 8 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 8/8

Worked Example 9

Problem: A model has 3 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/3

Worked Example 10

Problem: A model has 3 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/3

Practice Exercise

Create and solve one new example of Thirds. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.7 Fourths

A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A model has 6 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/6

Worked Example 2

Problem: A model has 10 equal parts and 10 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 10/10

Worked Example 3

Problem: A model has 8 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/8

Worked Example 4

Problem: A model has 4 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/4

Worked Example 5

Problem: A model has 10 equal parts and 6 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 6/10

Worked Example 6

Problem: A model has 6 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/6

Worked Example 7

Problem: A model has 10 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/10

Worked Example 8

Problem: A model has 4 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/4

Worked Example 9

Problem: A model has 6 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/6

Worked Example 10

Problem: A model has 6 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/6

Practice Exercise

Create and solve one new example of Fourths. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.8 Fifths

A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A model has 3 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/3

Worked Example 2

Problem: A model has 5 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/5

Worked Example 3

Problem: A model has 10 equal parts and 9 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 9/10

Worked Example 4

Problem: A model has 3 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/3

Worked Example 5

Problem: A model has 4 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/4

Worked Example 6

Problem: A model has 2 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/2

Worked Example 7

Problem: A model has 2 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/2

Worked Example 8

Problem: A model has 3 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/3

Worked Example 9

Problem: A model has 10 equal parts and 5 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 5/10

Worked Example 10

Problem: A model has 5 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/5

Practice Exercise

Create and solve one new example of Fifths. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.9 Sixths

A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A model has 6 equal parts and 6 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 6/6

Worked Example 2

Problem: A model has 8 equal parts and 7 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 7/8

Worked Example 3

Problem: A model has 5 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/5

Worked Example 4

Problem: A model has 8 equal parts and 6 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 6/8

Worked Example 5

Problem: A model has 2 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/2

Worked Example 6

Problem: A model has 4 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/4

Worked Example 7

Problem: A model has 2 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/2

Worked Example 8

Problem: A model has 6 equal parts and 6 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 6/6

Worked Example 9

Problem: A model has 3 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/3

Worked Example 10

Problem: A model has 4 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/4

Practice Exercise

Create and solve one new example of Sixths. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.10 Eighths

A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A model has 8 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/8

Worked Example 2

Problem: A model has 3 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/3

Worked Example 3

Problem: A model has 8 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/8

Worked Example 4

Problem: A model has 3 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/3

Worked Example 5

Problem: A model has 5 equal parts and 5 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 5/5

Worked Example 6

Problem: A model has 4 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/4

Worked Example 7

Problem: A model has 2 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/2

Worked Example 8

Problem: A model has 6 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/6

Worked Example 9

Problem: A model has 10 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/10

Worked Example 10

Problem: A model has 8 equal parts and 2 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 2/8

Practice Exercise

Create and solve one new example of Eighths. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.11 Tenths

A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Write 1/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.1

Worked Example 2

Problem: Write 8/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.8

Worked Example 3

Problem: Write 4/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.4

Worked Example 4

Problem: Write 4/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.4

Worked Example 5

Problem: Write 3/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.3

Worked Example 6

Problem: Write 7/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.7

Worked Example 7

Problem: Write 0/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.0

Worked Example 8

Problem: Write 9/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.9

Worked Example 9

Problem: Write 5/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.5

Worked Example 10

Problem: Write 9/10 as a decimal.

  1. The denominator 10 means tenths.
  2. Put the numerator in the tenths place.

Very beginner explanation: Tenths can be written as either fractions or decimals.

Answer: 0.9

Practice Exercise

Create and solve one new example of Tenths. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

5.12 Fractions greater than one

A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: A model has 3 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/3

Worked Example 2

Problem: A model has 10 equal parts and 9 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 9/10

Worked Example 3

Problem: A model has 8 equal parts and 5 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 5/8

Worked Example 4

Problem: A model has 2 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/2

Worked Example 5

Problem: A model has 10 equal parts and 6 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 6/10

Worked Example 6

Problem: A model has 5 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/5

Worked Example 7

Problem: A model has 4 equal parts and 3 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 3/4

Worked Example 8

Problem: A model has 4 equal parts and 4 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 4/4

Worked Example 9

Problem: A model has 5 equal parts and 1 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 1/5

Worked Example 10

Problem: A model has 10 equal parts and 6 are selected. What fraction is selected?

  1. Count all equal parts for the denominator.
  2. Count selected parts for the numerator.

Very beginner explanation: Fractions describe equal-sized parts.

Answer: 6/10

Practice Exercise

Create and solve one new example of Fractions greater than one. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

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30 Review Questions and Answers

Q1. What is important to understand about What a fraction represents?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q2. What is important to understand about Equal parts?

Answer: Equal parts is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q3. What is important to understand about Numerator?

Answer: Numerator is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q4. What is important to understand about Denominator?

Answer: Denominator is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q5. What is important to understand about Halves?

Answer: Halves is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q6. What is important to understand about Thirds?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q7. What is important to understand about Fourths?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q8. What is important to understand about Fifths?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q9. What is important to understand about Sixths?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q10. What is important to understand about Eighths?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q11. What is important to understand about Tenths?

Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.

Q12. What is important to understand about Fractions greater than one?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q13. How would you explain What a fraction represents?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q14. How would you explain Equal parts?

Answer: Equal parts is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q15. How would you explain Numerator?

Answer: Numerator is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q16. How would you explain Denominator?

Answer: Denominator is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q17. How would you explain Halves?

Answer: Halves is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q18. How would you explain Thirds?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q19. How would you explain Fourths?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q20. How would you explain Fifths?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q21. How would you explain Sixths?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q22. How would you explain Eighths?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q23. How would you explain Tenths?

Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.

Q24. How would you explain Fractions greater than one?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q25. What should a beginner check when working with What a fraction represents?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.

Q26. What should a beginner check when working with Equal parts?

Answer: Equal parts is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q27. What should a beginner check when working with Numerator?

Answer: Numerator is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q28. What should a beginner check when working with Denominator?

Answer: Denominator is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q29. What should a beginner check when working with Halves?

Answer: Halves is an important Grade 4 mathematics idea in Fraction Foundations. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q30. What should a beginner check when working with Thirds?

Answer: A fraction names equal parts of a whole, set, or length. The denominator names how many equal parts make the whole, and the numerator tells how many parts are being considered.