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Primary 6 Division of fractions

Use the same three steps for each division: keep, change, flip. The number being divided stays the same; only the divisor is turned over.

Keep, change, flip

Then multiply and simplify. Write a whole number over 1 before flipping it. Change a mixed number to an improper fraction before starting.

34 ÷ 12 = 34 × 21 = 32

Keep 34, change the sign, then flip 12 to 21.

Dividing a proper fraction by a whole number

Write the whole number as a fraction over 1. Keep the proper fraction, change ÷ to ×, and flip the whole-number divisor.

Work out 34 ÷ 2

  1. Keep: 34 stays the same. Write 2 as 21.
  2. Change: replace ÷ with ×.
  3. Flip: 21 becomes 12.
  4. Multiply: 34 × 12 = 38.

Answer: 38

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Work out 23 ÷ 4.

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16

Dividing a whole number or proper fraction by a proper fraction

The divisor is already a fraction. Keep the first number, change the sign, flip the divisor, then multiply.

Whole number ÷ proper fraction

Work out 2 ÷ 14.

  1. Keep: write 2 as 21; it stays the same.
  2. Change: replace ÷ with ×.
  3. Flip: 14 becomes 41.
  4. Multiply: 21 × 41 = 8.

Answer: 8

Proper fraction ÷ proper fraction

Work out 34 ÷ 12.

  1. Keep: 34 stays the same.
  2. Change: replace ÷ with ×.
  3. Flip: 12 becomes 21.
  4. Multiply: 34 × 21 = 64 = 32 = 1 12.

Answer: 1 12

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Work out 12 ÷ 34.

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23

Dividing a mixed number by a proper fraction

First change the mixed number to an improper fraction. Then use keep, change, flip exactly as before.

Work out 1 12 ÷ 34

  1. Convert: 1 12 = 32.
  2. Keep: 32 stays the same.
  3. Change: replace ÷ with ×.
  4. Flip: 34 becomes 43.
  5. Multiply: 32 × 43 = 126 = 2.

Answer: 2

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Work out 2 14 ÷ 34.

Reveal the answer

3

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