AQA · Mathematics · 8300
GCSE Maths: Fractions: addition diff denominators
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Fractions: addition diff denominators (Corbettmaths Video 133), 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 adding or subtracting fractions with different denominators?
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Find a common denominator (usually the lowest common multiple of the denominators).
When adding 3/4 + 1/12, the common denominator is ?.
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12
What is 3/4 + 1/12 as a simplified fraction?
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5/6 (Convert to 9/12 + 1/12 = 10/12, then simplify to 5/6).
What is 5/6 - 1/2 as a simplified fraction?
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1/3 (Convert to 5/6 - 3/6 = 2/6, then simplify to 1/3).
What is 3/4 + 2/9 as a simplified fraction?
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35/36 (Convert to 27/36 + 8/36 = 35/36).
What is 1/10 + 2/3 as a simplified fraction?
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23/30 (Convert to 3/30 + 20/30 = 23/30).
When adding fractions that result in an improper fraction greater than 1, what form should the answer take for a mixed number question?
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Convert to a mixed number format (e.g., 17/12 becomes 1 5/12).
If 3/8 of counters are red and 1/6 are green, what fraction are purple?
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11/24 (Find common denominator 24: 9/24 + 4/24 = 13/24 are red or green, so 24/24 - 13/24 = 11/24 are purple).
A team won 2/5 of matches and drew 1/3. What fraction did they lose?
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4/15 (Common denominator 15: 6/15 + 5/15 = 11/15 won or drew, so 15/15 - 11/15 = 4/15 lost).
When adding mixed numbers like 1 2/5 + 2 1/2, what are the two main steps?
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1) Add the whole numbers (1 + 2 = 3), 2) Add the fractions (2/5 + 1/2 = 9/10), then combine for final answer (3 9/10).
When subtracting mixed numbers like 8 5/6 - 3 1/3, what must you check before subtracting the fractional parts?
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Check if the first fraction is larger than the second; if not, borrow 1 from the whole number part.
What is 4 1/3 - 3 4/9 as a fraction?
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8/9 (Convert to improper fractions: 13/3 - 31/9 = 39/9 - 31/9 = 8/9).
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