Grade 3 Math · Equivalent Fractions: Introduction

Grade 3 Equivalent Fractions Practice Test

Build Grade 3 math skills with five 10-question practice tests on equivalent fractions, visual models, equal amounts, scale factors, and missing fraction parts.

Equivalent Fractions Practice Tests

These Grade 3 Math practice tests help students recognize fractions that name the same amount. Students use fraction models, number lines, equal parts, and scale factors to connect fractions such as \(\frac{1}{2}\) and \(\frac{2}{4}\).

Skills covered

  • Recognizing equivalent fractions in visual models
  • Using equal parts and number-line locations
  • Multiplying or dividing the numerator and denominator by the same number
  • Finding missing numerators and denominators
  • Connecting equivalent fractions to everyday measurements
  • Explaining why equivalent fractions represent the same amount

How to use these practice tests

Complete one 10-question test at a time. Compare how many equal parts are counted and how many equal parts make the whole. If both numbers are multiplied or divided by the same factor, the fraction can keep the same value.

For more Grade 3 Math practice, return to the Grade 3 Math category.

5. Test

Grade 3 Equivalent Fractions Practice Tests

A 10-question Grade 3 Math practice test on equivalent fractions, fraction models, equal amounts, and finding missing numerators or denominators.

Compare the parts of each fraction carefully. Look for the same amount represented with a different number of equal parts, and check whether both numbers use the same scale factor.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Which fraction is equivalent to 13\frac{1}{3}?

Please select an answer first.

Correct answer: A

The correct answer is 26\frac{2}{6}.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: Doubling both parts of 13\frac{1}{3} gives 26\frac{2}{6}.
  3. Check the choice: The correct choice is 26\frac{2}{6}.

Doubling both parts of 13\frac{1}{3} gives 26\frac{2}{6}.

2. QuestionMultiple choice

Which fraction is equal to 45\frac{4}{5}?

Please select an answer first.

Correct answer: B

The correct answer is 810\frac{8}{10}.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: Multiplying numerator and denominator by 2 gives 810\frac{8}{10}.
  3. Check the choice: The correct choice is 810\frac{8}{10}.

Multiplying numerator and denominator by 2 gives 810\frac{8}{10}.

3. QuestionMultiple choice

Which fraction is equivalent to 38\frac{3}{8}?

Please select an answer first.

Correct answer: C

The correct answer is 616\frac{6}{16}.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: Multiplying both parts by 2 gives 616\frac{6}{16}.
  3. Check the choice: The correct choice is 616\frac{6}{16}.

Multiplying both parts by 2 gives 616\frac{6}{16}.

4. QuestionMultiple choice

Which fraction has the same value as 27\frac{2}{7}?

Please select an answer first.

Correct answer: D

The correct answer is 621\frac{6}{21}.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: Multiplying both parts of 27\frac{2}{7} by 3 gives 621\frac{6}{21}.
  3. Check the choice: The correct choice is 621\frac{6}{21}.

Multiplying both parts of 27\frac{2}{7} by 3 gives 621\frac{6}{21}.

5. QuestionMultiple choice

Why does multiplying the numerator and denominator by the same number make an equivalent fraction?

Please select an answer first.

Correct answer: A

The correct answer is It partitions the whole into more equal parts without changing the amount.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: The pieces become smaller and more numerous in the same proportion, so the represented amount stays the same.
  3. Check the choice: The correct choice is It partitions the whole into more equal parts without changing the amount.

The pieces become smaller and more numerous in the same proportion, so the represented amount stays the same.

6. QuestionMultiple choice

Which pair is not equivalent?

Please select an answer first.

Correct answer: B

The correct answer is 23\frac{2}{3} and 36\frac{3}{6}.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: 23\frac{2}{3} is not equal to 36\frac{3}{6}, which equals 12\frac{1}{2}.
  3. Check the choice: The correct choice is 23\frac{2}{3} and 36\frac{3}{6}.

23\frac{2}{3} is not equal to 36\frac{3}{6}, which equals 12\frac{1}{2}.

7. QuestionMultiple choice

Which fraction is equivalent to 56\frac{5}{6}?

Please select an answer first.

Correct answer: C

The correct answer is 1518\frac{15}{18}.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: Multiplying both parts by 3 gives 1518\frac{15}{18}.
  3. Check the choice: The correct choice is 1518\frac{15}{18}.

Multiplying both parts by 3 gives 1518\frac{15}{18}.

8. QuestionMultiple choice

Which fraction is equal to 710\frac{7}{10}?

Please select an answer first.

Correct answer: D

The correct answer is 1420\frac{14}{20}.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: Doubling both parts gives 1420\frac{14}{20}.
  3. Check the choice: The correct choice is 1420\frac{14}{20}.

Doubling both parts gives 1420\frac{14}{20}.

9. QuestionMultiple choice

What is 69\frac{6}{9} in simplest equivalent form?

Please select an answer first.

Correct answer: A

The correct answer is 23\frac{2}{3}.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: Dividing the numerator and denominator by 3 gives 23\frac{2}{3}.
  3. Check the choice: The correct choice is 23\frac{2}{3}.

Dividing the numerator and denominator by 3 gives 23\frac{2}{3}.

10. QuestionMultiple choice

Which statement about 24\frac{2}{4} and 12\frac{1}{2} is true?

Please select an answer first.

Correct answer: B

The correct answer is They represent the same amount.

  1. Read the fraction model: Identify the numerator and denominator in each fraction.
  2. Use the same-size parts: Both fractions describe one-half of a whole, so they are equivalent.
  3. Check the choice: The correct choice is They represent the same amount.

Both fractions describe one-half of a whole, so they are equivalent.

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Frequently asked questions about Grade 3 Equivalent Fractions

What are equivalent fractions?

Equivalent fractions are different fractions that represent the same amount of a whole.

How can you make an equivalent fraction?

Multiply or divide the numerator and denominator by the same nonzero number while keeping the value unchanged.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 3 Equivalent Fractions questions in total.