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# Learner Guide

Fractions, Decimals and Percentages

Fractions, decimals and percentages are all different ways to represent a

quantity as part of a whole. They can all be converted into each of the other

forms and still represent the same amount – this means they are equivalent.

These are some common equivalents that you should know.

1/100 = 0.01 = 1%

1/10 = 0.1 = 10%

½ = 0.5 = 50%

¼ = 0.25 = 25%

1/5 = 0.2 = 20%

for equivalents of other fractions, decimals and percentages.

 Example 1. Let’s say we want to find out what ¾ is as a percentage.We already know that ¼ is 25% – ¾ must be three times bigger than this.25% x 3 = 75%Converting between fractions, decimals and percentages using a calculator is quite simple if you know what to do. 1) You can convert a fraction to a decimal by dividing the numerator by the denominator2) You can convert a decimal to a percentage by multiplying it by 1003) You can convert a percentage to a decimal by dividing it by 100 4) You can convert a percentage to a fraction by writing the number over a denominator of 100

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