Fractions and Percentages
Fractions and percentages are two ways to write the same amount. To turn a fraction into a percentage, make the denominator 100. A percentage always means out of 100.
Video Lesson
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What Is a Percentage?
- A percentage means “out of 100” (e.g. .
- It is another way of writing a fraction with denominator 100.
Converting Fractions to Percentages
- Change the fraction so the denominator is 100. For example, .
- You can do this by expanding or simplifying the fraction.
Finding a Percentage of a Total
- To find a percentage, divide the part by the total and multiply by 100 (e.g. .
- All parts together should add up to (e.g. .
Practice Questions
Test your understanding
Which of these percentages is equal to ?
Correct! 🎉 +10 pointsNot quite right
To convert the fraction 3/10 to a percentage, multiply by 100: .
What is as a fraction?
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To convert to a fraction, write it as and simplify. This becomes .
A school has 30 teachers, and 12 of them teach science. What percentage of the teachers teach science?
Correct! 🎉 +20 pointsNot quite right
Divide the number of science teachers by the total number of teachers and multiply by 100: .
A sports team played 45 games and won 27 of them. What percentage of the games did they win?
Correct! 🎉 +20 pointsNot quite right
Divide the number of games won by the total games played and multiply by 100: .
A company sells 120 items in a month, and 96 of them are on sale. What percentage of items sold were on sale?
Correct! 🎉 +20 pointsNot quite right
Divide the number of items on sale by the total number of items sold and multiply by 100: .
What fraction represents in its simplest form?
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To convert to a fraction, write it as and simplify. This becomes .
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Interactive Activity
Practise converting fractions to percentages by finding equivalent fractions
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Students Also Ask
The questions students bump into most on this topic
Per cent means out of one hundred. So any percentage tells you a number out of 100. One per cent is the same as one hundredth, and 70% means 70 out of 100. This is why a percentage is written as a number followed by the % sign.
To convert a fraction to a percentage, adjust the denominator so it becomes 100. Multiply or divide both the numerator and the denominator by the same number until the denominator is 100. The numerator you are left with is then the percentage.
First find the total, which is the whole you are comparing against. Write the first number as a fraction of that total. Then adjust the denominator to 100 by multiplying or dividing both parts by the same number. The numerator is your percentage.
Yes. Every fraction can be turned into a percentage, and every percentage can be turned back into a fraction. A percentage is simply another way to write a fraction that has 100 as its denominator, so the two are always interchangeable.
No. You adjust the denominator to 100 either way. If the denominator divides into 100, you multiply both the numerator and the denominator to reach it. If the denominator is larger than 100, you divide both parts instead until the denominator becomes 100.