AQA · Mathematics · 8300
GCSE Maths: Fractions: finding the midpoint
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Fractions: finding the midpoint (Corbettmaths Video 141), 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 midpoint of 1/8 and 5/8?
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3/8. Add the numerators (1 + 5 = 6) and divide by 2 (6 ÷ 2 = 3).
What is the first step when finding the midpoint of fractions with different denominators?
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Convert both fractions to equivalent fractions with a common denominator.
What is the midpoint of 1/4 and 17/20?
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9/20. Convert 1/4 to 5/20, then (5 + 17)/2 = 22/2 = 11, so 11/20. Or find (1/4 + 17/20) ÷ 2.
If the midpoint of two fractions is 2/3 and one fraction is 1/2, what is the other fraction?
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5/6. Let the unknown be x. Then (1/2 + x) ÷ 2 = 2/3, so 1/2 + x = 4/3, giving x = 4/3 - 1/2 = 8/6 - 3/6 = 5/6.
When finding the midpoint of mixed numbers, what should you do first?
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Convert the mixed numbers to improper fractions (or keep them as mixed numbers and average carefully).
What is the relationship between finding a midpoint and finding an average?
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The midpoint of two numbers is the same as their average (mean).
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