# Quick Review: Fractions to Percentage Conversion

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Questions based on Percentage, Profit and Loss and Interest etc., are asked in many competitive exams. You may need to do complex calculations in such topics. Examples: If you have to calculate, say 87.5% of 800, 58.33% of 2400, etc. Calculating these values using the traditional method is time-consuming.

If you apply the fraction approach, you can crack these easily i.e., if you know that 87.5 % is just 7/8th of the number and 58.33 % is 7/12th of the number, then it becomes easy to calculate.

You must be well versed with the following fraction table:

Fraction Decimal Percent
1/2 0.5 50%
1/3 0.333… 33.333…%
2/3 0.666… 66.666…%
1/4 0.25 25%
3/4 0.75 75%
1/5 0.2 20%
2/5 0.4 40%
3/5 0.6 60%
4/5 0.8 80%
1/6 0.1666… 16.666…%
5/6 0.8333… 83.333…%
1/8 0.125 12.5%
3/8 0.375 37.5%
5/8 0.625 62.5%
7/8 0.875 87.5%
1/9 0.111… 11.111…%
2/9 0.222… 22.222…%
4/9 0.444… 44.444…%
5/9 0.555… 55.555…%
7/9 0.777… 77.777…%
8/9 0.888… 88.888…%
1/10 0.1 10%
1/12 0.08333… 8.333…%
1/16 0.0625 6.25%
1/32 0.03125 3.125%
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