# How do you simplify (5 3/5)/ (2 1/7)?

Feb 19, 2017

$2 \frac{46}{75}$

#### Explanation:

The first step is to change $\textcolor{b l u e}{\text{mixed numbers to improper fractions}}$

$\Rightarrow 5 \frac{3}{5} = \frac{28}{5} \text{ and } 2 \frac{1}{7} = \frac{15}{7}$

rArr28/5÷15/7" is to be calculated"

To divide 2 fractions, use the following steps.

• " leave the first fraction"

• " change division to multiplication"

• " invert (turn upside down) the second fraction"

• " cancel, if possible and simplify"

rArr28/5÷15/7

$= \frac{28}{5} \times \frac{7}{15} \leftarrow \textcolor{red}{\text{ multiply and invert}}$

There is no cancelling available, so

$= \frac{28 \times 7}{5 \times 15}$

$= \frac{196}{75}$

$= 2 \frac{46}{75} \leftarrow \text{ return as mixed number}$