If you have the fraction $\displaystyle \frac{7}{18}$ how do you figure out what percentage that is? I know the answer is about 39% but how do you do the work to figure it out? Thanks

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- Apr 1st 2013, 01:30 PMcmf0106Basic Percentage Question
If you have the fraction $\displaystyle \frac{7}{18}$ how do you figure out what percentage that is? I know the answer is about 39% but how do you do the work to figure it out? Thanks

- Apr 1st 2013, 01:49 PMPlatoRe: Basic Percentage Question
- Apr 1st 2013, 01:51 PMcmf0106Re: Basic Percentage Question
- Apr 1st 2013, 01:55 PMPlatoRe: Basic Percentage Question
- Apr 1st 2013, 01:56 PMcmf0106Re: Basic Percentage Question
yes 700/18 = 39%, but my question is why can you use 700?

- Apr 1st 2013, 02:28 PMPlatoRe: Basic Percentage Question
- Apr 1st 2013, 03:53 PMProve ItRe: Basic Percentage Question
You want to write this as a percentage, which is an equivalent way to write a proportion, meaning "per hundred". You need to remember that 100% is the same as 1. You also need to remember that multiplying by 1 keeps your fraction the same. So that means:

$\displaystyle \displaystyle \begin{align*} \frac{7}{18} &= \frac{7}{18} \cdot 1 \\ &= \frac{7}{18} \cdot 100\% \\ &= \frac{700}{18}\% \end{align*}$