Simplifying algebraic fractions (AQA GCSE Further Maths): Flashcards

Fractions containing algebraic expressions (with variables) in the numerator, denominator, or both

They follow exactly the same rules

Factor completely (both numerator and denominator)

Common factors in both numerator and denominator

Multiply numerators together and denominators together

Multiply by the reciprocal of the second fraction

Need a common denominator

Only common factors (in both numerator and denominator)

Cannot cancel $x$ or numbers separately; must factor first

Least common multiple (LCM) of the denominators

Identify common factors

Substitute a simple value (like $x=1$) into both expressions