GCSE · Algebraic fractions

Adding and subtracting algebraic fractionsExam-style questions

Why algebraic fractions need a common denominator exactly like numeric ones, how the product of the denominators always works, and the bracket-and-sign discipline of the combined numerator.

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

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
Write $\dfrac{2}{x + 1} + \dfrac{3}{x - 2}$ as a single fraction in its simplest form. [3]
Level 4 · 3 marksTry it
2
Write $\dfrac{5}{2x} + \dfrac{3}{4x}$ as a single fraction in its simplest form.
Level 4 · 2 marksTry it
3
Write $\dfrac{2}{x} + \dfrac{3}{x + 1}$ as a single fraction in its simplest form.
Level 4 · 3 marksTry it
4
Write $2 + \dfrac{3}{x - 1}$ as a single fraction.
Level 4 · 2 marksTry it
5
Write $\dfrac{5}{x + 3} + \dfrac{2}{x}$ as a single fraction in its simplest form.
Level 4 · 3 marksTry it

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