AQA · Mathematics · 8300
GCSE Maths: Algebraic fractions: simplifying
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Algebraic fractions: simplifying (Corbettmaths Video 24), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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When adding or subtracting algebraic fractions with different denominators, what is the first step?
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Find a common denominator (usually the lowest common multiple of the denominators).
When dividing algebraic fractions, what equivalent operation should you perform instead?
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Multiply by the reciprocal of the second fraction (flip the second fraction and multiply).
To simplify an algebraic fraction, ? the numerator and denominator, then cancel common factors.
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factorise
When simplifying algebraic fractions involving quadratics, what technique is typically required first?
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Factorise the quadratic expressions in the numerator and/or denominator.
When multiplying algebraic fractions, when should you factorise and cancel?
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Before multiplying, factorise numerators and denominators, then cancel common factors to simplify the work.
What is the general strategy for simplifying complex algebraic fraction expressions involving multiple operations?
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Factorise all expressions, apply the operations (division becomes multiplication by reciprocal), then cancel common factors.
When adding three or more algebraic terms including fractions and whole expressions, what must you do with the whole expression?
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Express the whole expression as a fraction with denominator 1, then find a common denominator for all terms.
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