# How do you simplify 5/16div3/10?

Jan 4, 2017

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#### Explanation:

First, rewrite this problem as:

$\frac{\frac{\textcolor{red}{5}}{\textcolor{g r e e n}{16}}}{\frac{\textcolor{b l u e}{3}}{\textcolor{\mathmr{and} a n \ge}{10}}}$

Now, use this rule for dividing equations:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{g r e e n}{b}}}{\frac{\textcolor{b l u e}{c}}{\textcolor{\mathmr{and} a n \ge}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{\mathmr{and} a n \ge}{d}}{\textcolor{g r e e n}{b} \times \textcolor{b l u e}{c}}$

$\frac{\frac{\textcolor{red}{5}}{\textcolor{g r e e n}{16}}}{\frac{\textcolor{b l u e}{3}}{\textcolor{\mathmr{and} a n \ge}{10}}} = \frac{\textcolor{red}{5} \times \textcolor{\mathmr{and} a n \ge}{10}}{\textcolor{g r e e n}{16} \times \textcolor{b l u e}{3}} = \frac{50}{48} = \frac{2 \times 25}{2 \times 24} = \frac{\cancel{2} \times 25}{\cancel{2} \times 24} =$

$\frac{25}{24}$