AQA · Mathematics · 8300
GCSE Maths: Algebraic fractions: multiplication
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Algebraic fractions: multiplication (Corbettmaths Video 23), 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 multiplying two algebraic fractions, what operation do you perform on the numerators and denominators?
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Multiply the numerators together and multiply the denominators together.
When dividing two algebraic fractions, what is the first step?
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Multiply by the reciprocal of the second fraction (flip the second fraction and multiply).
What is the simplified form of (w/2) × (w/4)?
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w²/8
What is the simplified form of (3a/2) × (4/5a)?
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6/5. The 'a' cancels from numerator and denominator, leaving (3×4)/(2×5) = 12/10 = 6/5.
Before multiplying or dividing algebraic fractions, what should you look for to simplify?
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Common factors that can be cancelled between numerators and denominators, including factored expressions.
What is the simplified form of (w/2) ÷ (w/6)?
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3. Rewrite as (w/2) × (6/w), which gives 6w/2w = 3.
What is the simplified form of 2(x+7)⁴ / (x+7)³?
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2(x+7). The (x+7)³ cancels from numerator and denominator, leaving 2(x+7).
When simplifying a fraction with quadratic expressions, what is often the first step?
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Factor both the numerator and denominator, then cancel common factors.
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