# Question #e3e9e

Feb 8, 2017

If $\frac{7}{8} \times$something is $28.7$, then the something must be $\frac{8}{7} \times 28.7$.

#### Explanation:

$\frac{8}{7} \times 28.7 = 32.8$

And:
$\frac{7}{8} \times 32.8 = 28.7$

This works because the two fractions are each other's inverse , so they cancel out:

$\frac{7}{8} \times \frac{8}{7} = 1$