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Study Guide : Fractions, Decimals and Percentages

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%

 

Hopefully, you will be able to use these facts to help you find out the answers

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 denominator

2) You can convert a decimal to a percentage by multiplying it by 100

3) 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

 

Related Topics


equivalent-fractions       fractions-of-quantities      diagrams-and-graphs

charts                                 percentages                         mode-median-mean-range

 



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