Question

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

Answer 1

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

$13\frac{7}{8}=\frac{13\cdot8+7}{8}=\frac{104+7}{8}=\frac{111}{8}$

Then

$13\frac{7}{8}\text{\% }=\frac{111}{8}\text{\%}$

Now, divide over 100 to remove the percentage symbol

$\begin{gathered} \frac{\frac{111}{8}}{100}=\frac{\frac{111}{8}}{\frac{100}{1}} \\ \text{ Because }100=\frac{100}{1} \end{gathered}$

To divide fractions, operate like this

$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c}$

So, you have

$\frac{\frac{111}{8}}{100}=\frac{\frac{111}{8}}{\frac{100}{1}}=\frac{111\cdot1}{8\cdot100}=\frac{111}{800}$

Therefore, the number given in fractional notation is

$\frac{111}{800}$