GCSE · Fractions & decimals

The four operations with fractionsExam-style questions

Why adding fractions needs a common denominator but multiplying doesn't, why dividing flips the second fraction, and why mixed numbers must become improper before multiplying or dividing.

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17 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Show that (412−223)÷234=23\left(4\tfrac{1}{2} - 2\tfrac{2}{3}\right) \div 2\tfrac{3}{4} = \dfrac{2}{3}

    You must show each stage of your working.
    Level 5 · 4 marksTry it
  2. 2
    Show that (123)2÷279=1\left(1\tfrac{2}{3}\right)^2 \div 2\tfrac{7}{9} = 1

    You must show each stage of your working.
    Level 5 · 3 marksTry it