"How do you write 1/6 in percent?" was answered by students like you

Mary Reyes

Answered question

2021-12-15

How do you write 1/6 in percent?

Answer & Explanation

macalpinee3

Beginner2021-12-16Added 29 answers

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

\frac{16}{=} \frac{x}{100}

\frac{100 \cdot 1}{6} = \frac{x \cdot 100}{100}

\frac{100}{6} = x \cdot 1

x = 16 . \overset{―}{6}

Therefore 1/6 is 16.6%

Mollie Nash

Beginner2021-12-17Added 33 answers

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 = 0.166666 \dots

0.166666 = 16.6666666 \dots % \approx 16.67 % \approx 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 :

16.66666 = 16 \frac{23}{%}

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