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Skillswise Factsheet
N2/L1.3

Changing percentages to decimals using fractions

There are many ways to change percentages to decimals. You can use fractions to help you make the conversion.

Remember that per cent means 'out of 100'.

Example:  What is 75% expressed as a decimal?

75% means exactly the same as '75 out of 100' which is the same as The fraction 75 over 100..

Once you have expressed a percentage as a fraction out of 100 you can convert it into a decimal. Put the fraction into a place value table. Put the last figure of the top number in the hundredths column and fill in the rest backwards like this:

the decimal 0.75

Without calculation, you can see that 75% is the same as 0.75

      Always start by putting the last figure in the hundredths!

Here are some more examples:

decimals in a place value table

Convert 30% to a decimal. 30% means 30 out of 100 = The fraction 30 over 100.
When you put the fraction The fraction 30 over 100. into the table you can see that 30% is the same as 0.3

Convert 6% to a decimal. 6% means 6 out of 100 = The fraction 6 over 100.
When you put the fraction The fraction 6 over 100. into the table you can see that 6% is the same as 0.06

      Remember to fill empty columns with zeros.


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