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Application of Number > Level 2 > Fractions, Decimals and Percentages > Converting Percentages to Decimals - Tutorial 1

Converting Percentages to Decimals - Tutorial 1

In the previous Tutorial - 'Converting Percentages to Fractions', you learned the first part that is needed here. If you did not do the previous Tutorial, go back and make sure that you know how to convert percentages to fractions. Click here to go there.

Converting a percentage to a decimal involves two Steps.

Step 1

Convert the percentage into a fraction.

To convert any percentage into a fraction, simply put the percentage over 100.

E.g.

Percentage Fraction
25% 25-100.gif (1053 bytes)
63% 63-100.gif (1058 bytes)
75% 75-100.gif (1044 bytes)

 

Step 2

Now turn the fraction into a decimal. Do this by dividing the top number by the bottom number.

E.g.

     25-100.gif (1053 bytes) => 25 ÷100 = 0.25        so     25% => 0.25

     63-100.gif (1058 bytes) => 63 ÷ 100 = 0.63       so     63% => 0.63

     75-100.gif (1044 bytes) => 75 ÷ 100 = 0.75       so     75% => 0.75

If you are not sure how to convert a fraction to a decimal, click here to go to that tutorial.

Summary

 

Step 1 Step 2
Start with the percentage Convert to a fraction. Put the percentage over 100. Turn the fraction into a decimal. Divide the top number by the bottom number. The decimal
  50%   50/100   50 ÷ 100   0.5
  25%   25/100   25 ÷ 100   0.25
  99%   99/100   99 ÷ 100   0.99
  5%   5/100   5 ÷ 100   0.05
  9%   9/100   9 ÷ 100   0.09

Now test yourself by doing the following assessment. Try to get at least 80% correct.Try this test again in a few days time to make sure that you have remembered how to do it.

AssessmentButton.gif (1533 bytes)

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