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4MA1/2FR Jan 2022, Question 16: Multiplication and Division of Fractions

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks

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The question, in short

Show two fraction calculations: dividing 3/8 by 27/32 gives 4/9, and subtracting 3/8 from 5/6 gives 11/24.

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Part (a) · 2 marks

Show, by working, that dividing 3/8 by 27/32 equals 4/9.

  1. 1Dividing by a fraction is the same as multiplying by its reciprocal, so invert 27/32 and multiply.
  2. 23/8 ÷ 27/32 = 3/8 × 32/27
  3. 33/8 × 32/27 = (3 × 32)/(8 × 27) = 96/216
  4. 496/216 = 4/9, since 96 ÷ 24 = 4 and 216 ÷ 24 = 9
  5. 5So 3/8 ÷ 27/32 = 4/9

Answer3/8 ÷ 27/32 = 3/8 × 32/27 = 96/216 = 4/9

Part (b) · 2 marks

Show, by working, that 5/6 minus 3/8 equals 11/24.

  1. 1The lowest common denominator of 6 and 8 is 24.
  2. 25/6 = 20/24 and 3/8 = 9/24
  3. 320/24 − 9/24 = 11/24
  4. 4So 5/6 − 3/8 = 11/24

Answer5/6 − 3/8 = 20/24 − 9/24 = 11/24

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