How do you write 1/6 in percent?

2 Answers
Nov 10, 2016

1/6 is 16.bar6%

Explanation:

A percent is "per 100" or "out of 100". Therefore to write 1/6 as a percent we need to solve:

1/6 = x/100

(100 * 1)/6 = (x*100)/100

100/6 = x*1

x = 16.bar6

Therefore 1/6 is 16.bar6%

Nov 10, 2016

1/6 = 16 2/3% ~~ 16.667%~~ 16.7%

Explanation:

A percent can be written as a fraction with a denominator of 100. Unfortunately this is not possible with some fractions, including those which have 3,7,11 .... etc as a factor of the denominator.

You need to divide:

1 div 6 = 0.1666666..

0.166666 = 16.66666...% ~~ 16.67% ~~ 16.7%

However as the decimal recurs, these are not accurate.

A recurring 3 or 6 as a decimal indicates that there the fraction is thirds or sixths.

A better and exact way to give this as a percent is :

16.666666 = 16 2/3%