# How do you simplify 7/8*3 1/5?

Nov 11, 2016

We first make an improper fraction of $3 \frac{1}{5}$

#### Explanation:

$3 \frac{1}{5} = 3 \times \frac{5}{5} + \frac{1}{5} = \frac{15 + 1}{5} = \frac{16}{5}$

We now have $\frac{7}{8} \times \frac{16}{5} = \frac{7 \times 16}{8 \times 5}$

We can only cancel out a $8$:
$\frac{7 \times 2 \times \cancel{8}}{\cancel{8} \times 5} = \frac{7 \times 2}{5} = \frac{14}{5}$
This can be written as $2 \frac{4}{5}$