Dividing fractions

The Maths Habit

How many short pieces can you cut from the long ribbon?

Short pieceLong ribbon123456

6 pieces. The short piece fits into the long ribbon 6 times.

What fraction of each bar is shaded?

35
14
58

Whole
One complete thing. Here, one whole bar.
1 whole
Denominator
The bottom number of a fraction. It tells you how many equal parts the whole is cut into.
35
Divide
Find how many times one amount fits into another.
123

1234
Every part cut into small parts
Count the small parts
Count how many lots fit
  1. 1Cut the wholes.Cut every part into the small parts. Use the bigger bottom number.
  2. 2Count the parts.Count the small parts in each number.
  3. 3Divide.Parts in the first ÷ parts in the second = how many fit.

Work out 2 ÷ 14.

1Cut the wholes.
12345678
1 whole = 4 parts
2Count the parts.
Parts in 2: 8Parts in 14: 1
3Divide.
How many fit:8 ÷ 1 = 8

Work out 12 ÷ 16.

1Cut the wholes.
123
1 whole = 6 parts
2Count the parts.
Parts in 12: 3Parts in 16: 1
3Divide.
How many fit:3 ÷ 1 = 3

Work out 2 ÷ 14.

1Cut the wholes.
12345678
1 whole = 4 parts
2Count the parts.
Parts in 2: 8Parts in 14: 1
3Divide.
How many fit:8 ÷ 1 = 8
1Cut the wholes.2Count the parts.3Divide.

Work out 3 ÷ 13.

1Cut the wholes.
123456789
1 whole = 3 parts
2Count the parts.
Parts in 3: 9Parts in 13: 1
3Divide.
How many fit:9 ÷ 1 = 9

Work out 2 ÷ 14.

1Cut the wholes.
12345678
1 whole = 4 parts
2Count the parts.
Parts in 2: 8Parts in 14: 1
3Divide.
How many fit:8 ÷ 1 = 8
1Cut the wholes.2Count the parts.3Divide.

Work out 25 ÷ 110.

1Cut the wholes.
1234
1 whole = 10 parts
2Count the parts.
Parts in 25: 4Parts in 110: 1
3Divide.
How many fit:4 ÷ 1 = 4

Work out 2 ÷ 14.

1Cut the wholes.
12345678
1 whole = 4 parts
2Count the parts.
Parts in 2: 8Parts in 14: 1
3Divide.
How many fit:8 ÷ 1 = 8
1Cut the wholes.2Count the parts.3Divide.

Work out 23 ÷ 19.

1Cut the wholes.
123456
1 whole = 9 parts
2Count the parts.
Parts in 23: 6Parts in 19: 1
3Divide.
How many fit:6 ÷ 1 = 6

1Cut the wholes.2Count the parts.3Divide.

1Work out 4 ÷ 12.

1Cut the wholes.
12345678
1 whole = 2 parts
2Count the parts.
Parts in 4: 8Parts in 12: 1
3Divide.
How many fit:8 ÷ 1 = 8

2Work out 13 ÷ 16.

1Cut the wholes.
12
1 whole = 6 parts
2Count the parts.
Parts in 13: 2Parts in 16: 1
3Divide.
How many fit:2 ÷ 1 = 2

3Work out 2 ÷ 15.

1Cut the wholes.
12345678910
1 whole = 5 parts
2Count the parts.
Parts in 2: 10Parts in 15: 1
3Divide.
How many fit:10 ÷ 1 = 10

4Work out 34 ÷ 112.

1Cut the wholes.
123456789
1 whole = 12 parts
2Count the parts.
Parts in 34: 9Parts in 112: 1
3Divide.
How many fit:9 ÷ 1 = 9

How many lots of the parts fit into the bar?

123How many lots of 2 parts?3
12How many lots of 4 parts?2
123How many lots of 3 parts?3

Work out 2 ÷ 23.

1Cut the wholes.
123
1 whole = 3 parts
2Count the parts.
Parts in 2: 6Parts in 23: 2
3Divide.
How many fit:6 ÷ 2 = 3

Work out 34 ÷ 38.

1Cut the wholes.
12
1 whole = 8 parts
2Count the parts.
Parts in 34: 6Parts in 38: 3
3Divide.
How many fit:6 ÷ 3 = 2

Work out 2 ÷ 23.

1Cut the wholes.
123
1 whole = 3 parts
2Count the parts.
Parts in 2: 6Parts in 23: 2
3Divide.
How many fit:6 ÷ 2 = 3
1Cut the wholes.2Count the parts.3Divide.

Work out 3 ÷ 34.

1Cut the wholes.
1234
1 whole = 4 parts
2Count the parts.
Parts in 3: 12Parts in 34: 3
3Divide.
How many fit:12 ÷ 3 = 4

Work out 2 ÷ 23.

1Cut the wholes.
123
1 whole = 3 parts
2Count the parts.
Parts in 2: 6Parts in 23: 2
3Divide.
How many fit:6 ÷ 2 = 3
1Cut the wholes.2Count the parts.3Divide.

Work out 89 ÷ 29.

1Cut the wholes.
1234
1 whole = 9 parts
2Count the parts.
Parts in 89: 8Parts in 29: 2
3Divide.
How many fit:8 ÷ 2 = 4

Work out 2 ÷ 23.

1Cut the wholes.
123
1 whole = 3 parts
2Count the parts.
Parts in 2: 6Parts in 23: 2
3Divide.
How many fit:6 ÷ 2 = 3
1Cut the wholes.2Count the parts.3Divide.

Work out 56 ÷ 512.

1Cut the wholes.
12
1 whole = 12 parts
2Count the parts.
Parts in 56: 10Parts in 512: 5
3Divide.
How many fit:10 ÷ 5 = 2

Dividing fractions worksheet, page 1

Dividing fractions worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 3 ÷ 14 = 34

    Wrong: it is 12

  2. 12 ÷ 18 = 4

    Right

  3. 2 ÷ 12 = 1

    Wrong: it is 4

  4. 45 ÷ 25 = 2

    Right

  5. 1 ÷ 13 = 3

    Right

  1. How many 14 fit into 112?

    6

  2. Work out 34 × 8. Is it the same as 34 ÷ 18?

    6. Yes

  3. Work out 12 ÷ 13. The answer is not a whole number.

    112

  1. Work out 3 ÷ 12.

    6
    1Cut thewholes.1 whole =2parts2Countthe parts.Parts in3:Parts in12:3Divide.How many fit:÷=

  2. Work out 23 ÷ 29.

    3
    1Cut thewholes.1 whole =parts2Countthe parts.Parts in23:Parts in29:3Divide.How many fit:÷=

  3. Work out 12 ÷ 110.

    5
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