GCSE Mathematics (9-1)

4.2 Adding and subtracting fractions — Practise

  1. Work out 311+511\frac{3}{11}+\frac{5}{11}.
  2. Work out 56−14\frac{5}{6}-\frac{1}{4}.
  3. Work out 123+2341\frac{2}{3}+2\frac{3}{4}.
  4. A jug is 78\frac{7}{8} full. You pour out 13\frac{1}{3} of the jug capacity. What fraction remains?
  5. Work out 12+23−14\frac{1}{2}+\frac{2}{3}-\frac{1}{4}.
Answers and concise solutions

1. Answer 1

Answer: 311+511=811.\frac{3}{11}+\frac{5}{11}=\frac{8}{11}.

2. Answer 2

Answer: 56−14=1012−312=712.\frac{5}{6}-\frac{1}{4}=\frac{10}{12}-\frac{3}{12}=\frac{7}{12}.

3. Answer 3

Answer: 53+114=2012+3312=5312=4512.\frac{5}{3}+\frac{11}{4}=\frac{20}{12}+\frac{33}{12}=\frac{53}{12}=4\frac{5}{12}.

4. Answer 4

Answer: 78−13=2124−824=1324.\frac{7}{8}-\frac{1}{3}=\frac{21}{24}-\frac{8}{24}=\frac{13}{24}.

5. Answer 5

Answer: 612+812−312=1112\frac{6}{12}+\frac{8}{12}-\frac{3}{12}=\frac{11}{12}.

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