Converting between percentages, fractions, and decimals is a fundamental maths...
Maths239 views·Updated 11 Aug 2026·2 pagesUnderstanding Conversions: Percentages, Fractions, and Decimals
N
Noor Ibrahim@nooribrahim_eeji
1
of 2
Converting Percentages to Fractions
Every time you see a percentage, remember it literally means "out of 100" - that's your secret to instant conversion! The word "percent" breaks down to "per cent" which means "for every hundred".
To convert any percentage to a fraction, simply put the number over 100. So 82% becomes 82/100 and 3% becomes 3/100. It's that straightforward!
The beauty of this method is that it works for every percentage you'll ever encounter. Whether it's 15%, 67%, or even 99%, you just pop that number over 100 and you've got your fraction.
Quick Tip: Don't forget you can often simplify these fractions further by finding common factors!
2
of 2
Converting Fractions to Decimals
Converting fractions to decimals is simply about division - divide the top number (numerator) by the bottom number (denominator). When you see 42/100, you're calculating 42 ÷ 100 = 0.42.
Here's a brilliant shortcut for fractions with 100 as the denominator: since 100 has two zeros, you move the decimal point two places to the left. So 42 becomes 0.42 instantly!
This pattern works perfectly because dividing by 100 is the same as moving two decimal places. It's like a mathematical magic trick that saves you time in exams.
Remember: The number of zeros in the denominator tells you how many places to move the decimal point to the left.
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Maths239 views·Updated 11 Aug 2026·2 pagesUnderstanding Conversions: Percentages, Fractions, and Decimals
N
Noor Ibrahim@nooribrahim_eeji
Converting between percentages, fractions, and decimals is a fundamental maths skill you'll use constantly in your GCSE studies and beyond. Once you understand the simple patterns, these conversions become quick and automatic.
1
of 2
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Converting Percentages to Fractions
Every time you see a percentage, remember it literally means "out of 100" - that's your secret to instant conversion! The word "percent" breaks down to "per cent" which means "for every hundred".
To convert any percentage to a fraction, simply put the number over 100. So 82% becomes 82/100 and 3% becomes 3/100. It's that straightforward!
The beauty of this method is that it works for every percentage you'll ever encounter. Whether it's 15%, 67%, or even 99%, you just pop that number over 100 and you've got your fraction.
Quick Tip: Don't forget you can often simplify these fractions further by finding common factors!
2
of 2Sign up to see the content. It's free!
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By signing up you accept Terms of Service and Privacy Policy
Converting Fractions to Decimals
Converting fractions to decimals is simply about division - divide the top number (numerator) by the bottom number (denominator). When you see 42/100, you're calculating 42 ÷ 100 = 0.42.
Here's a brilliant shortcut for fractions with 100 as the denominator: since 100 has two zeros, you move the decimal point two places to the left. So 42 becomes 0.42 instantly!
This pattern works perfectly because dividing by 100 is the same as moving two decimal places. It's like a mathematical magic trick that saves you time in exams.
Remember: The number of zeros in the denominator tells you how many places to move the decimal point to the left.
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