# Level 3-4 Numbers - Fractions, Percentages and Decimals

In the field of maths, fractions, percentages and decimals represent the same thing - numbers less than 1. For KS3 Maths you should know the equivalences between fractions, decimals and percentages. All three types of numbers are used in day-to-day life and it's useful to be able to change from one to the other.

Any number can be written as a fraction, a percentage or a decimal. Let's look at a simple example: three quarters. As a fraction, the simplest way to write three quarters is as ^{3}⁄_{4}. Percentages write fractions as 100ths. One quarter of a hundred is 25 so three quarters as a percentage would be 25 x 3 = 75%. Decimals use tenths and hundredths. So, 75 hundredths (^{3}⁄_{4}) would be written as 0.75. It's all quite simple - once you've got the hang of it!

To help you practise converting fractions, decimals and percentages you can play this quiz. Take your time and read each question carefully!

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