AQA · Mathematics · 8300
GCSE Maths: Fractions: improper to mixed number
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Fractions: improper to mixed number (Corbettmaths Video 139), 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 an improper fraction?
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A fraction where the numerator is greater than or equal to the denominator (also called a 'top heavy' fraction).
What is a mixed number?
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A number written as a whole number plus a proper fraction, such as 2⅓.
Convert 7/3 to a mixed number.
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2⅓ (divide 7 by 3: quotient 2 becomes the whole number, remainder 1 becomes the numerator)
Convert 9/5 to a mixed number.
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1⅘ (divide 9 by 5: quotient 1 is the whole number, remainder 4 is the numerator)
Convert 5/2 to a mixed number.
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2½ (5 ÷ 2 = 2 remainder 1)
Convert 21/5 to a mixed number.
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4⅕ (21 ÷ 5 = 4 remainder 1)
How do you convert a mixed number to an improper fraction?
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Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.
Convert 1⅔ to an improper fraction.
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5/3 (1 × 3 + 2 = 5, over the denominator 3)
Convert the decimal 2.5 to a mixed number.
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2½ (the decimal 0.5 equals ½)
Convert the decimal 3.75 to a mixed number.
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3¾ (the decimal 0.75 equals ¾)
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