GCSE · Linear equations

Equations with fractionsExam-style questions

Why multiplying EVERY term by a common denominator clears the fractions, where cross-multiplication comes from (and its bracket discipline), and how one clearing move turns any fractional equation into an ordinary one.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Solve x4=3\dfrac{x}{4} = 3
    Level 1 · 1 markTry it
  2. 2
    Solve x+23=5\dfrac{x + 2}{3} = 5
    Level 1 · 2 marksTry it
  3. 3
    Solve x3−2=4\dfrac{x}{3} - 2 = 4
    Level 2 · 2 marksTry it
  4. 4
    Solve 2x+13−x−24=2\dfrac{2x + 1}{3} - \dfrac{x - 2}{4} = 2 (3 marks)
    Level 3 · 3 marksTry it
  5. 5
    Solve x5+3=10\dfrac{x}{5} + 3 = 10
    Level 3 · 2 marksTry it

8 more questions on equations with fractions

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