# How do you convert 1/6 into a percent and decimal?

Jul 6, 2017

See below

#### Explanation:

Let's convert to decimal first, and I'll explain why later.

To convert $\frac{1}{6}$ to decimal, just divide $1$ by $6$!!
(That's what the fraction is showing; a fraction = numerator $\div i \mathrm{de}$ denominator)

$1 \div i \mathrm{de} 6 = 0.16666666 \ldots$

So that is $\frac{1}{6}$ in decimal form!
($0.16$ recurring)

Note that per in percent means each and $c e n t$ means 100.

Therefore, percentage is just the quantity out of $100$! Simple!

So, multiply the decimal form of $\frac{1}{6}$ by $100$ (That is why I did decimal first)

0.16666666...*100=16.66666.......%