Quick Review: Fractions to Percentage Conversion

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.

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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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