AQA · Mathematics · 8300
GCSE Maths: Fractions: ordering
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Fractions: ordering (Corbettmaths Video 144), 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 is the first step when ordering fractions with different denominators?
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Convert them to a common denominator (or convert to decimals).
To compare 3/8 and 1/3, what common denominator can be used?
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24 (the least common multiple of 8 and 3).
What is 3/8 expressed with denominator 24?
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9/24 (multiply both numerator and denominator by 3).
What is 1/3 expressed with denominator 24?
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8/24 (multiply both numerator and denominator by 8).
When finding which fraction is closer to a target number, what should you calculate?
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The difference (distance) between each fraction and the target number.
What is the median of a set of numbers?
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The middle value when the numbers are arranged in order.
To find the median of five fractions, which position contains the median after ordering?
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The third position (middle value of five).
Which fraction is closer to 1: 4/3 or 3/4?
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3/4, because it is 1/4 from 1, while 4/3 is 1/3 from 1, and 1/4 < 1/3.
Why might comparing salary increases of 3/7 and 2/5 not tell you who gets more money?
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Because the fractions represent proportions; if the original salaries differ, the actual amounts could differ.
If Jordan has won 5/6 of his matches and played fewer than 500 matches, what is the greatest number of matches he could have played?
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498 matches (the largest multiple of 6 less than 500).
In order from most to least matches won, how do Kyren (7/10), Mark (7/8), and Jordan (5/6) rank?
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Mark, Jordan, Kyren (because 7/8 > 5/6 > 7/10).
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