Answer
$\frac{1}{6}=.167=16.7$%
Work Step by Step
We are given the fraction $\frac{1}{6}$.
We know that $\frac{1}{6}=1\div6\approx.167$
To write $\frac{1}{6}$ as a percentage, we can set $\frac{1}{6}$ equal to $\frac{p}{100}$ (where p is the percentage representation of the given fraction) and take the cross products to solve for p.
$\frac{1}{6}=\frac{p}{100}$
$1\times100=6\times p$
$100=6p$
Divide both sides by 6.
$p=16.7$%
Therefore, $\frac{1}{6}=.167=16.7$%.