Question

How do I write `5/12` as a percent?

Answer 1

`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%`