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
    Work out 34−25\dfrac{3}{4} - \dfrac{2}{5}

    Give your answer as a fraction in its simplest form. (2 marks)
    Level 1 · 2 marksTry it
  2. 2
    Work out 25+15\dfrac{2}{5} + \dfrac{1}{5}
    Level 1 · 1 markTry it
  3. 3
    Work out 12+14\dfrac{1}{2} + \dfrac{1}{4}
    Level 1 · 2 marksTry it
  4. 4
    Write these numbers in order of size, starting with the smallest.

    0.454944%370.45 \qquad \dfrac{4}{9} \qquad 44\% \qquad \dfrac{3}{7}

    (2 marks)
    Level 2 · 2 marksTry it
  5. 5
    Work out 123÷2121\frac{2}{3} \div 2\frac{1}{2}

    Give your answer as a fraction in its simplest form. (3 marks)
    Level 2 · 3 marksTry it

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