# Chapter 6 - Percent - 6.2 Percents and Fractions - 6.2 Exercises - Page 397: 51

$\frac{1}{6}=.167=16.7$%

#### 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, $\frac{1}{6}=.167=16.7$%.

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