How do I write 5/12512 as a percent?

1 Answer
May 7, 2017

5/12 xx 100% = 41.66666....% = 41 2/3%

Explanation:

Fractions which have a denominator that is a factor of 100 are easy to write as percents.

For those where the denominator is not a factor of 100, you can change it to a decimal first by dividing:

5 div 12 = 0.4166666....

This can be written as a fraction with 100 as the denominator:

(41.666666..)/100 = 41.6666.....%

However the recurring decimal .66666... is equal to 2/3

:. 41.66666...% =41 2/3%

The same result will be obtained by multiplying the fraction by 100%

5/12 xx 100% = 41.66666....% = 41 2/3%