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Convert Percentages to Fractions and Decimals

In this worksheet, students will recognise the percent symbol (%) and understand that percent relates to ‘number of parts per hundred’, writing percentages as fractions with the denominator 100, and as decimals.

'Convert Percentages to Fractions and Decimals' worksheet

Key stage:  KS 2

Year:  Year 5 Maths worksheets

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Recognise Percentages

Popular topics:   Percentages worksheets

Difficulty level:  

Worksheet Overview

In this activity, we will be converting from percentages into decimals and fractions.


The symbol % stands for percent, which means out of a hundred.


Cent is the French for hundred and the % symbol looks a bit like two zeros with a 1 through them... 0|0.


We can easily convert between percentages, fractions, and decimals as shown in the example below.


45% (45 percent)  is equal to 45/100 (45 hundredths)  =  0.45

78% (78 percent)  is equal to 78/100 (78 hundredths)  =  0.78

5% (5 percent)  is equal to 5/100 (5 hundredths)  =  0.05

40% (40 percent)  is equal to 40/100 (40 hundredths)  =  0.40 = 0.4


Remember that:

50% (50 percent) is equal to 50/100 (50 hundredths) = 0.5 or one half.

100% (100 percent) is equal to 100/100 or one whole.


Let's try a question together!



How can we write 13% as a decimal and a fraction?



13% means 13 out of 100 or 13 hundredths.


As a decimal, this is 0.13.

As a fraction, this is 13/100.


When converting a percentage into a decimal or a fractiondivide by 100.


Are you ready to try some questions now?


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