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Math Help - Basic Percentage Question

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    Basic Percentage Question

    If you have the fraction \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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    Re: Basic Percentage Question

    Quote Originally Posted by cmf0106 View Post
    If you have the fraction \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

    Can you do this question: 700 \div 18~?
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    Re: Basic Percentage Question

    Quote Originally Posted by Plato View Post
    Can you do this question: 700 \div 18~?
    Yes, my question would be why are you able to do 700/18 ?
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    Re: Basic Percentage Question

    Quote Originally Posted by cmf0106 View Post
    Yes, my question would be why are you able to do 700/18 ?
    Well if you can do, the do it and see what you get.
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    Re: Basic Percentage Question

    yes 700/18 = 39%, but my question is why can you use 700?
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    Re: Basic Percentage Question

    Quote Originally Posted by cmf0106 View Post
    yes 700/18 = 39%, but my question is why can you use 700?
    Percent means per one hundred.

    If you want \frac{31}{81} changed to \% then what is 3100 \div 81=~?
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    Re: Basic Percentage Question

    Quote Originally Posted by cmf0106 View Post
    If you have the fraction \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
    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 \begin{align*} \frac{7}{18} &= \frac{7}{18} \cdot 1 \\ &= \frac{7}{18} \cdot 100\% \\ &= \frac{700}{18}\% \end{align*}
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