Dividing fractions worksheet

Grade 6 math, Common Core 6.NS.A.1. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

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Dividing fractions

Grade 6 math, Common Core 6.NS.A.1

Divide. Write each answer in simplest form.

1.
67 ÷ 4
2.
14 ÷ 3
3.
78 ÷ 13
4.
4 ÷ 34
5.
18 ÷ 29
6.
34 ÷ 14
7.
14 ÷ 27
8.
3 ÷ 16
9.
1 35 ÷ 13
10.
34 ÷ 12

Answer key: Dividing fractions

Grade 6 math. Each answer has a few worked steps, to help check the method as well as the answer.

1. 314
Multiply by the reciprocal: 67 × 14= 628 = 314
2. 112
Multiply by the reciprocal: 14 × 13= 112 = 112
3. 218 = 2 58
Multiply by the reciprocal: 78 × 3= 218 = 218 = 2 58
4. 163 = 5 13
Multiply by the reciprocal: 4 × 43= 163 = 163 = 5 13
5. 916
Multiply by the reciprocal: 18 × 92= 916 = 916
6. 3
Multiply by the reciprocal: 34 × 4= 124 = 3
7. 78
Multiply by the reciprocal: 14 × 72= 78 = 78
8. 18
Multiply by the reciprocal: 3 × 6= 181 = 18
9. 245 = 4 45
1 35 = 85Multiply by the reciprocal: 85 × 3= 245 = 245 = 4 45
10. 32 = 1 12
Multiply by the reciprocal: 34 × 2= 64 = 32 = 1 12

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About dividing fractions

To divide by a fraction, multiply by its reciprocal: flip the second fraction upside down and multiply. A quick way to remember it is "keep, change, flip": keep the first fraction, change ÷ to ×, and flip the second fraction. Turn mixed numbers into improper fractions before you start.

Worked example 1

16 ÷ 45

Step 1.Multiply by the reciprocal: 16 × 54
Step 2.= 524 = 524

Answer: 524

Worked example 2

89 ÷ 12

Step 1.Multiply by the reciprocal: 89 × 2
Step 2.= 169 = 169 = 1 79

Answer: 169 = 1 79

Worked example 3

1 12 ÷ 13

Step 1.1 12 = 32
Step 2.Multiply by the reciprocal: 32 × 3
Step 3.= 92 = 92 = 4 12

Answer: 92 = 4 12

Watch out for

Only flip the second fraction, the one you are dividing by.
Write a whole number as a fraction over 1 before flipping: 4 is 41.
Simplify at the end, and write improper fractions as mixed numbers.

Practice dividing fractions online

On StudyWiz, your kid can practice dividing fractions with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

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