AQA · Mathematics · 8300
GCSE Maths: Fractions: simplifying
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Fractions: simplifying (Corbettmaths Video 146), 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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What does it mean to simplify a fraction fully?
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To divide both the numerator and denominator by their greatest common factor until no common factors remain (other than 1).
What are equivalent fractions?
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Fractions that represent the same value but have different numerators and denominators (e.g., 1/2 = 2/4 = 5/10).
To simplify 6/24, what should you divide both numerator and denominator by?
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6 (their greatest common factor), giving 1/4.
What is 21/84 in its simplest form?
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1/4 (dividing both numerator and denominator by 21).
What is 42/70 in its simplest form?
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3/5 (dividing both numerator and denominator by 14).
If 100 out of 500 people wear glasses, what fraction of people do NOT wear glasses in simplest form?
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4/5 (400 people don't wear glasses: 400/500 = 4/5).
What is 50p as a fraction of £4 in simplest form?
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1/8 (50p/400p = 50/400 = 1/8).
If 88 out of 400 pupils play a musical instrument, what is this as a simplified fraction?
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11/50 (dividing both 88 and 400 by 8).
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