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%#