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Find fractional notation. 7 137% 7 13% (Simplify your answer. Type an integer or a fraction.)

Find fractional notation. 7 137% 7 13% (Simplify your answer. Type an integer or a-example-1
User Mahabub Karim
by
3.1k points

1 Answer

10 votes
10 votes

First, you can convert the mixed fraction to improper, like this


13(7)/(8)=(13\cdot8+7)/(8)=(104+7)/(8)=(111)/(8)

Then


13(7)/(8)\text{\% }=(111)/(8)\text{\%}

Now, divide over 100 to remove the percentage symbol


\begin{gathered} ((111)/(8))/(100)=((111)/(8))/((100)/(1)) \\ \text{ Because }100=(100)/(1) \end{gathered}

To divide fractions, operate like this


((a)/(b))/((c)/(d))=(a\cdot d)/(b\cdot c)

So, you have


((111)/(8))/(100)=((111)/(8))/((100)/(1))=(111\cdot1)/(8\cdot100)=(111)/(800)

Therefore, the number given in fractional notation is


(111)/(800)

User Tom Wayson
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3.5k points