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4MA1/2F Jan 2019, Question 8: Multiplication and Division of Fractions

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 7 marks

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The question, in short

Convert an improper fraction to a mixed number, find the fraction of animals that are cows, order four fractions by size, and verify a fraction subtraction.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Write 19/5 as a mixed number.

  1. 119 ÷ 5 = 3 remainder 4
  2. 2So 19/5 is 3 whole ones with 4 fifths left over
  3. 319/5 = 3 4/5

Answer3 4/5

Part (b) · 2 marks

Given 84 animals with 10 horses and 45 sheep, find the fraction that are cows.

  1. 1Cows = 84 − 10 − 45 = 29
  2. 2Fraction of cows = 29/84

Answer29/84

Part (c) · 2 marks

Arrange 3/4, 11/12, 5/8 and 9/20 from smallest to largest.

  1. 1As decimals: 3/4 = 0.75, 11/12 = 0.916…, 5/8 = 0.625, 9/20 = 0.45
  2. 2Order: 0.45, 0.625, 0.75, 0.916…
  3. 39/20, 5/8, 3/4, 11/12

Answer9/20, 5/8, 3/4, 11/12

Part (d) · 2 marks

Show that 23/24 − 3/8 equals 7/12.

  1. 1Common denominator 24: 3/8 = 9/24
  2. 223/24 − 9/24 = 14/24
  3. 314/24 = 7/12

Answer7/12

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