AQA · Mathematics · 8300
GCSE Maths: Algebraic fractions: division
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Algebraic fractions: division (Corbettmaths Video 22), 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 algebraic fractions with different denominators, what must you do first?
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Find a common denominator (typically the LCM of the denominators) and rewrite each fraction with this common denominator.
How do you multiply two algebraic fractions?
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Multiply the numerators together and multiply the denominators together, then simplify if possible.
How do you divide one algebraic fraction by another?
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Multiply by the reciprocal of the divisor (flip the second fraction and multiply).
Before simplifying an algebraic fraction with quadratic expressions, what step is often necessary?
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Factor the quadratic expressions in the numerator and/or denominator, then cancel common factors.
When simplifying a product of algebraic fractions, when should you factor?
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Factor before multiplying, so you can cancel common factors across numerators and denominators to simplify the calculation.
What is the difference of squares factoring pattern?
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a² − b² = (a + b)(a − b)
When combining three or more algebraic fractions with different operations, what is the order of operations?
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Follow BIDMAS/PEMDAS: handle multiplication and division first (left to right), then addition and subtraction (left to right), unless parentheses indicate otherwise.
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