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Level 3-4 Numbers - Fractions, Percentages and Decimals
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 understand how fractions work, take a look at the Fractions - Numerical Quantities article.

1.
How is 166% written as a decimal?
1
1.6
1.66
1.67
To convert percentages to decimals simply move the digits two places to the right
2.
What is 3/4 written as a decimal?
0.25
0.5
0.75
0.80
Three-quarters of 1 is 0.75
3.
How is 0.25 written as a fraction?
1/4
1/3
1/2
2/3
0.25 is one-quarter of 1
4.
How would you write 5.25 as a fraction?
1/5
525
514
5%
The 5 is a whole number - only the numbers after the decimal need to be made into a fraction
5.
How would you write 0.9 as a fraction?
1/9
3/9
7/9
9/10
9 and 10 have only one common factor - 1, so 9/10 is the simplest way to write this fraction
6.
What is 3/5 written as a decimal?
0.3
0.5
0.6
0.8
In decimals 1/5 is 0.2 so multiply 0.2 by 3 for the answer
7.
How is 20% written as a fraction?
1/5
1/4
1/3
1/2
100 divided by 20 is 5 so 20% is the same as 1/5
8.
What is 3/5 written as a percentage?
30%
60%
75%
90%
Three-fifths of 100 is 60
9.
How is 75% written as a decimal?
0.5
0.7
0.72
0.75
To convert percentages to decimals simply move the digits two places to the right
10.
What is 3/4 written as a percentage?
10%
25%
50%
75%
Three-quarters of 100 is 75

 

Author:  Frank Evans

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