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

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Solve $\dfrac{2x + 1}{3} - \dfrac{x - 2}{4} = 2$ (3 marks)
Level 3 · 3 marksTry it
2
Solve $\dfrac{x}{5} + 3 = 10$
Level 3 · 2 marksTry it
3
Solve $\dfrac{3x - 2}{4} = 7$
Level 3 · 2 marksTry it
4
Solve $\dfrac{15}{x} = 3$
Level 3 · 2 marksTry it