Grade 6 Math · Dividing Fractions

Grade 6 Dividing Fractions Practice Test

Build Grade 6 Math skills with five 10-question practice tests on reciprocals, fraction division, mixed numbers, decimals, equations, estimation, and real-world problems.

Dividing Fractions Practice Tests

These Grade 6 Math practice tests help students divide fractions and interpret quotients. Students practice reciprocals, fraction and whole-number division, mixed numbers, decimal connections, equations, estimates, measurement, recipes, portions, and other real-world applications.

Skills covered

  • Identifying the dividend, divisor, quotient, and reciprocal
  • Dividing fractions by fractions and whole numbers
  • Converting mixed numbers to improper fractions
  • Dividing mixed numbers, decimals, and compatible values
  • Interpreting quotients as the number of equal groups
  • Solving equations and checking answers by multiplication
  • Estimating and applying fraction division to measurement, recipes, and portions

How to use these practice tests

Keep the dividend in place, change division to multiplication, and use the reciprocal of the divisor. Convert mixed numbers before calculating, simplify the quotient, and check the result by multiplying the quotient by the divisor. In word problems, explain what the quotient means in the context.

For more Grade 6 Math practice, return to the Grade 6 Math category.

5. Test

Grade 6 Dividing Fractions Practice Tests

A 10-question Grade 6 Math practice test on dividing fractions, reciprocals, mixed numbers, whole numbers, decimals, equations, estimation, and real-world applications.

Identify the dividend and divisor, multiply by the reciprocal of the divisor, simplify the result, and check it by multiplication.

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

If x÷23=6x \div \frac{2}{3} = 6, what is xx?

Please select an answer first.

Correct answer: A

The correct answer is 44.

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: Multiply both sides by 23\frac{2}{3}: x=6×23=4x = 6 \times \frac{2}{3} = 4.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Multiply both sides by 23\frac{2}{3}: x=6×23=4x = 6 \times \frac{2}{3} = 4.

2. QuestionMultiple choice

If 58÷x=54\frac{5}{8} \div x = \frac{5}{4}, what is xx?

Please select an answer first.

Correct answer: B

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

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: Rewrite the equation as 58=54x\frac{5}{8} = \frac{5}{4}x. Dividing gives x=12x = \frac{1}{2}.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Rewrite the equation as 58=54x\frac{5}{8} = \frac{5}{4}x. Dividing gives x=12x = \frac{1}{2}.

3. QuestionMultiple choice

Which expression is equivalent to 34÷25\frac{3}{4} \div \frac{2}{5}?

Please select an answer first.

Correct answer: C

The correct answer is 34×52\frac{3}{4} \times \frac{5}{2}.

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: Keep the dividend and multiply by the reciprocal of the divisor: 34×52\frac{3}{4} \times \frac{5}{2}.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Keep the dividend and multiply by the reciprocal of the divisor: 34×52\frac{3}{4} \times \frac{5}{2}.

4. QuestionMultiple choice

What is 23÷43\frac{2}{3} \div \frac{4}{3}?

Please select an answer first.

Correct answer: D

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

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: 23×34=12\frac{2}{3} \times \frac{3}{4} = \frac{1}{2}.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

23×34=12\frac{2}{3} \times \frac{3}{4} = \frac{1}{2}.

5. QuestionMultiple choice

What is a reasonable estimate for 78÷14\frac{7}{8} \div \frac{1}{4}?

Please select an answer first.

Correct answer: A

The correct answer is 44.

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: Since 78\frac{7}{8} is close to 1 and 14\frac{1}{4} divides 1 into 4 groups, the quotient is close to 4.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Since 78\frac{7}{8} is close to 1 and 14\frac{1}{4} divides 1 into 4 groups, the quotient is close to 4.

6. QuestionMultiple choice

What is the common error when dividing by a fraction?

Please select an answer first.

Correct answer: B

The correct answer is Inverting the dividend instead of the divisor..

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: The divisor is the number that must be replaced by its reciprocal; the dividend stays in place.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

The divisor is the number that must be replaced by its reciprocal; the dividend stays in place.

7. QuestionMultiple choice

What does a÷ba \div b mean when bb is not zero?

Please select an answer first.

Correct answer: C

The correct answer is How many groups of size b are in a..

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: Division asks how many groups of the divisor fit into the dividend.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Division asks how many groups of the divisor fit into the dividend.

8. QuestionMultiple choice

Which quotient is greater: 34÷12\frac{3}{4} \div \frac{1}{2} or 34÷32\frac{3}{4} \div \frac{3}{2}?

Please select an answer first.

Correct answer: D

The correct answer is 34÷12\frac{3}{4} \div \frac{1}{2}.

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: The first quotient is 32\frac{3}{2} and the second is 12\frac{1}{2}, so the first is greater.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

The first quotient is 32\frac{3}{2} and the second is 12\frac{1}{2}, so the first is greater.

9. QuestionMultiple choice

How can you check a fraction-division answer?

Please select an answer first.

Correct answer: A

The correct answer is Multiply the quotient by the divisor and see whether it equals the dividend..

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: The inverse relationship is dividend÷divisor=quotientdividend \div divisor = quotient and quotient×divisor=dividendquotient \times divisor = dividend.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

The inverse relationship is dividend÷divisor=quotientdividend \div divisor = quotient and quotient×divisor=dividendquotient \times divisor = dividend.

10. QuestionMultiple choice

Which summary best describes Grade 6 Dividing Fractions?

Please select an answer first.

Correct answer: B

The correct answer is Fraction division uses reciprocals, mixed-number conversions, models, equations, and real-world interpretations to find how many groups fit in a quantity..

  1. Identify the dividend and divisor: Read the division situation carefully and keep the units or labels attached to the quantities.
  2. Use the reciprocal: A complete summary connects the reciprocal rule, computation, interpretation, estimation, equations, and checking.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

A complete summary connects the reciprocal rule, computation, interpretation, estimation, equations, and checking.

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Frequently asked questions about Grade 6 Dividing Fractions

What topics are covered?

The page covers reciprocals, dividing fractions by fractions and whole numbers, mixed numbers, decimals, equations, estimation, checking, and real-world applications.

Why do students use the reciprocal?

Multiplying by the reciprocal changes a fraction-division problem into an equivalent multiplication problem that can be calculated and simplified.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Dividing Fractions questions in total.