KS3 Maths Quiz
How is 20% written as a fraction?

# 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 34. 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 (34) 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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1. What is 3/4 written as a percentage?
Three-quarters of 100 is 75
2. What is 3/5 written as a percentage?
Three-fifths of 100 is 60
3. How is 20% written as a fraction?
100 divided by 20 is 5 so 20% is the same as 1/5
4. What is 3/5 written as a decimal?
In decimals 1/5 is 0.2 so multiply 0.2 by 3 for the answer
5. How is 166% written as a decimal?
To convert percentages to decimals simply move the digits two places to the right
6. How would you write 0.9 as a fraction?
9 and 10 have only one common factor - 1, so 9/10 is the simplest way to write this fraction
7. How would you write 5.25 as a fraction?
The 5 is a whole number - only the numbers after the decimal need to be made into a fraction
8. How is 75% written as a decimal?
To convert percentages to decimals simply move the digits two places to the right
9. How is 0.25 written as a fraction?
0.25 is one-quarter of 1
10. What is 3/4 written as a decimal?
Three-quarters of 1 is 0.75

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