AQA · Mathematics · 8300
GCSE Maths: FDP: percentages to fractions
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for FDP: percentages to fractions (Corbettmaths Video 122), 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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How do you convert a percentage to a fraction?
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Write the percentage as a number over 100, then simplify if possible. For example, 25% = 25/100 = 1/4.
What is 25% as a fraction in simplest form?
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1/4
What is 50% as a fraction in simplest form?
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1/2
What is 30% as a fraction in simplest form?
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3/10
What is 19% as a fraction?
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19/100
What is 72% as a fraction in simplest form?
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18/25
If 10% of the world are left handed, what fraction are right handed?
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9/10 (because 90% are right handed, which equals 9/10)
What is 37.5% as a fraction in simplest form?
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3/8
What is 68% as a fraction in simplest form?
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17/25
What is 6% as a fraction in simplest form?
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3/50
How do you convert a percentage greater than 100% to a fraction?
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Write it over 100 and simplify. The result will be an improper fraction (or mixed number). For example, 150% = 150/100 = 3/2.
To compare a percentage with a fraction, what is the most direct conversion method?
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Convert the fraction to a percentage by dividing numerator by denominator and multiplying by 100 (or convert the percentage to a fraction).
What is 54.2% as a fraction in simplest form?
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271/500. (54.2/100 = 542/1000, simplified by dividing by 2.)
What is 0.48% as a fraction in simplest form?
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6/1250. (0.48/100 = 0.48/100 = 48/10000 = 6/1250.)
How do you convert a fraction to a percentage?
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Divide the numerator by the denominator, then multiply by 100.
What is 4/11 as a percentage (to 2 decimal places)?
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36.36%. (4 ÷ 11 = 0.3636... × 100.)
What is 40.5% as a fraction in simplest form?
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81/200. (40.5/100 = 405/1000, simplified by dividing by 5.)
What is 180% as a fraction in simplest form?
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9/5 (or 1 4/5). (180/100 = 9/5.)
Can a percentage be greater than 100%?
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Yes. Percentages greater than 100% represent values greater than the whole, e.g., 180% = 1.8 or 9/5.
What is 37/4 as a percentage?
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925%. (37 ÷ 4 = 9.25 × 100.)
When converting a fraction with numerator greater than denominator to a percentage, will the result be greater than or less than 100%?
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Greater than 100%. An improper fraction is greater than 1, so multiplying by 100 yields a percentage above 100%.
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