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Skillswise Factsheet
N2/L1.3

Changing decimals to percentages using fractions

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

Example:  What is 0.75 expressed as a percentage?

Put the decimal in a place value table:

the decimal 0.75

Look at the decimal shown above, 0.75
In the table we can read it as 0 units, The fraction 7 over 10. and The fraction 5 over 100..
We can also read the figures after the decimal point as one number - seventy-five. Combine this with the heading of the last column that contains a number. With the decimal 0.75 the last number 5 is in the hundredths, The fraction 1 over 100., column. The decimal 0.75 is the same as the fraction The fraction 75 over 100..

To convert this to a percentage remember that per cent means 'out of 100'.
The fraction 75 over 100. means 75 out of 100 which is exactly the same as 75%.

Here are a few more examples:

decimals in a place value table

      The decimal 0.3 is The fraction 3 over 10. which is the same as The fraction 30 over 100. (30 out of 100) = 30%
      The decimal 0.06 is The fraction 6 over 100. (6 out of 100) = 6%
      The decimal 0.12 is The fraction 12 over 100. (12 out of 100) = 12%
      The decimal 1 is The fraction 1 over 1. which is the same as The fraction 100 over 100. (100 out of 100) = 100%


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