Grade 5 Math · Fraction Division: Introduction

Grade 5 Fraction Division: Introduction Practice Test

Build Grade 5 Math skills with five 10-question practice tests introducing fraction division, reciprocals, division by whole numbers and fractions, mixed numbers, and real-world problems.

Fraction Division Introduction Practice Tests

These Grade 5 Math practice tests introduce division with fractions. Students practice dividing fractions by whole numbers, dividing whole numbers by fractions, using reciprocals, converting mixed numbers, simplifying quotients, and solving sharing and measurement problems.

Skills covered

  • Dividing fractions by whole numbers
  • Dividing whole numbers by fractions
  • Dividing one fraction by another fraction
  • Using reciprocals to rewrite division as multiplication
  • Converting mixed numbers before dividing
  • Interpreting quotients as groups, servings, or measurements

How to use these practice tests

Ask what the quotient represents. Then rewrite division as multiplication by the reciprocal of the divisor, simplify before or after multiplying, and check the size of the result with a model or estimate.

For more Grade 5 Math practice, return to the Grade 5 Math category.

5. Test

Grade 5 Fraction Division Introduction Practice Tests

A 10-question Grade 5 Math practice test introducing fraction division, dividing by whole numbers and fractions, reciprocals, mixed numbers, and word problems.

Interpret the groups, multiply by the reciprocal of the divisor, simplify the quotient, and check whether the answer is reasonable.

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

What is 23\frac{2}{3} ÷ 4?

Please select an answer first.

Correct answer: A

The correct answer is 16\frac{1}{6}.

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: Multiply by the reciprocal of 4: 2/3 × 1/4 = 1/6.
  3. Check the choice: The correct choice is 16\frac{1}{6}.

Multiply by the reciprocal of 4: 2/3 × 1/4 = 1/6.

2. QuestionMultiple choice

What is 5 ÷ 23\frac{2}{3}?

Please select an answer first.

Correct answer: B

The correct answer is 7 12\frac{1}{2}.

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: Multiply by the reciprocal: 5 × 3/2 = 15/2 = 7 1/2.
  3. Check the choice: The correct choice is 7 12\frac{1}{2}.

Multiply by the reciprocal: 5 × 3/2 = 15/2 = 7 1/2.

3. QuestionMultiple choice

What is 34\frac{3}{4} ÷ 38\frac{3}{8}?

Please select an answer first.

Correct answer: C

The correct answer is 2.

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: Multiply by the reciprocal: 3/4 × 8/3 = 2.
  3. Check the choice: The correct choice is 2.

Multiply by the reciprocal: 3/4 × 8/3 = 2.

4. QuestionMultiple choice

What is 710\frac{7}{10} ÷ 720\frac{7}{20}?

Please select an answer first.

Correct answer: D

The correct answer is 2.

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: Multiply by the reciprocal: 7/10 × 20/7 = 2.
  3. Check the choice: The correct choice is 2.

Multiply by the reciprocal: 7/10 × 20/7 = 2.

5. QuestionMultiple choice

What is 45\frac{4}{5} ÷ 25\frac{2}{5}?

Please select an answer first.

Correct answer: A

The correct answer is 2.

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: Multiply by the reciprocal: 4/5 × 5/2 = 2.
  3. Check the choice: The correct choice is 2.

Multiply by the reciprocal: 4/5 × 5/2 = 2.

6. QuestionMultiple choice

What is 2 12\frac{1}{2} ÷ 56\frac{5}{6}?

Please select an answer first.

Correct answer: B

The correct answer is 3.

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: Convert 2 1/2 to 5/2, then 5/2 × 6/5 = 3.
  3. Check the choice: The correct choice is 3.

Convert 2 1/2 to 5/2, then 5/2 × 6/5 = 3.

7. QuestionMultiple choice

What is the reciprocal of 34\frac{3}{4}?

Please select an answer first.

Correct answer: C

The correct answer is 43\frac{4}{3}.

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: The reciprocal is found by switching the numerator and denominator: 3/4 becomes 4/3.
  3. Check the choice: The correct choice is 43\frac{4}{3}.

The reciprocal is found by switching the numerator and denominator: 3/4 becomes 4/3.

8. QuestionMultiple choice

A student says 12\frac{1}{2} ÷ 14\frac{1}{4} = 18\frac{1}{8}. What is the error?

Please select an answer first.

Correct answer: D

The correct answer is Division counts how many one-fourth groups are in one-half, so the answer is 2..

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: Use the reciprocal: 1/2 × 4/1 = 2, not 1/8.
  3. Check the choice: The correct choice is Division counts how many one-fourth groups are in one-half, so the answer is 2..

Use the reciprocal: 1/2 × 4/1 = 2, not 1/8.

9. QuestionMultiple choice

What number makes 35\frac{3}{5} ÷ □\square = 32\frac{3}{2} true?

Please select an answer first.

Correct answer: A

The correct answer is 25\frac{2}{5}.

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: The divisor is 2/5 because 3/5 ÷ 2/5 = 3/5 × 5/2 = 3/2.
  3. Check the choice: The correct choice is 25\frac{2}{5}.

The divisor is 2/5 because 3/5 ÷ 2/5 = 3/5 × 5/2 = 3/2.

10. QuestionMultiple choice

Which summary best explains fraction division?

Please select an answer first.

Correct answer: B

The correct answer is Interpret the groups, multiply by the divisor’s reciprocal, simplify, and check the quotient..

  1. Read the division situation: Identify the amount being divided and the size of each group or divisor.
  2. Use the reciprocal: Using the reciprocal connects the division situation to multiplication and makes the quotient easier to verify.
  3. Check the choice: The correct choice is Interpret the groups, multiply by the divisor’s reciprocal, simplify, and check the quotient..

Using the reciprocal connects the division situation to multiplication and makes the quotient easier to verify.

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Frequently asked questions about Grade 5 Fraction Division: Introduction

How do you divide by a fraction?

Multiply by the reciprocal of the divisor. For example, divide by 2/3 by multiplying by 3/2.

What does a fraction division quotient represent?

It can represent how many groups of the divisor fit in the dividend, such as how many one-half servings fit in a total amount.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 5 Fraction Division questions in total.