AQA · Mathematics · 8300
GCSE Maths: Fractions: division
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Fractions: division (Corbettmaths Video 134), 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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To divide one fraction by another, what operation do you perform?
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Multiply by the reciprocal (flip the second fraction and multiply).
What is a top-heavy fraction?
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A fraction where the numerator is larger than the denominator (also called an improper fraction).
When should a top-heavy fraction be rewritten?
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As a mixed number (whole number plus proper fraction).
What does it mean to simplify a fraction?
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To reduce it to its simplest form by dividing both numerator and denominator by their greatest common factor.
When dividing a whole number by a fraction, what do you do with the whole number first?
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Write it as a fraction with denominator 1, then multiply by the reciprocal of the dividing fraction.
How do you divide a mixed number by a fraction?
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Convert the mixed number to an improper fraction, then divide as usual (multiply by the reciprocal).
If you need to share a fraction of something among several people, what mathematical operation do you use?
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Division. Divide the fraction by the number of people.
To find how many portions of a given size can be made from a total amount, what operation do you use?
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Division. Divide the total amount by the portion size.
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