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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.

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5 Tests
1. Test2. Test3. Test4. Test5. Test

1. 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

What is 34÷12\frac{3}{4} \div \frac{1}{2}?

Please select an answer first.

Correct answer: A

The correct answer is 32\frac{3}{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: Multiply by the reciprocal: 34×21=64=32\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Multiply by the reciprocal: 34×21=64=32\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}.

2. QuestionMultiple choice

What is the reciprocal of 57\frac{5}{7}?

Please select an answer first.

Correct answer: B

The correct answer is 75\frac{7}{5}.

  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: Switch the numerator and denominator: the reciprocal of 57\frac{5}{7} is 75\frac{7}{5}.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Switch the numerator and denominator: the reciprocal of 57\frac{5}{7} is 75\frac{7}{5}.

3. QuestionMultiple choice

What is 23÷4\frac{2}{3} \div 4?

Please select an answer first.

Correct answer: C

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

  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: Write 4 as 41\frac{4}{1} and multiply by its reciprocal: 23×14=16\frac{2}{3} \times \frac{1}{4} = \frac{1}{6}.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Write 4 as 41\frac{4}{1} and multiply by its reciprocal: 23×14=16\frac{2}{3} \times \frac{1}{4} = \frac{1}{6}.

4. QuestionMultiple choice

What is 5÷235 \div \frac{2}{3}?

Please select an answer first.

Correct answer: D

The correct answer is 152\frac{15}{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: Multiply 5 by the reciprocal of 23\frac{2}{3}: 5×32=1525 \times \frac{3}{2} = \frac{15}{2}.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Multiply 5 by the reciprocal of 23\frac{2}{3}: 5×32=1525 \times \frac{3}{2} = \frac{15}{2}.

5. QuestionMultiple choice

Which rule is used to divide by a fraction?

Please select an answer first.

Correct answer: A

The correct answer is Multiply by the reciprocal 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: Fraction division is rewritten as multiplication by the reciprocal of the divisor.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Fraction division is rewritten as multiplication by the reciprocal of the divisor.

6. QuestionMultiple choice

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

Please select an answer first.

Correct answer: B

The correct answer is 22.

  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 by the reciprocal: 45×52=42=2\frac{4}{5} \times \frac{5}{2} = \frac{4}{2} = 2.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

Multiply by the reciprocal: 45×52=42=2\frac{4}{5} \times \frac{5}{2} = \frac{4}{2} = 2.

7. QuestionMultiple choice

What is 12÷34\frac{1}{2} \div \frac{3}{4}?

Please select an answer first.

Correct answer: C

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

  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: 12×43=46=23\frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

12×43=46=23\frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}.

8. QuestionMultiple choice

What is 78÷716\frac{7}{8} \div \frac{7}{16}?

Please select an answer first.

Correct answer: D

The correct answer is 22.

  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: 78×167=168=2\frac{7}{8} \times \frac{16}{7} = \frac{16}{8} = 2.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

78×167=168=2\frac{7}{8} \times \frac{16}{7} = \frac{16}{8} = 2.

9. QuestionMultiple choice

What is 3÷143 \div \frac{1}{4}?

Please select an answer first.

Correct answer: A

The correct answer is 1212.

  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: There are four one-fourth groups in each whole, so 3×4=123 \times 4 = 12.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

There are four one-fourth groups in each whole, so 3×4=123 \times 4 = 12.

10. QuestionMultiple choice

What is 56÷512\frac{5}{6} \div \frac{5}{12}?

Please select an answer first.

Correct answer: B

The correct answer is 22.

  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: 56×125=126=2\frac{5}{6} \times \frac{12}{5} = \frac{12}{6} = 2.
  3. Check by multiplication: Multiply the quotient by the divisor to confirm that the dividend is recovered.

56×125=126=2\frac{5}{6} \times \frac{12}{5} = \frac{12}{6} = 2.

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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.