# How do you evaluate (- \frac { 3} { 5} ) ( - \frac { 8} { 15} ) \div ( - 1\frac { 1} { 5} )?

$- \frac{4}{15}$

#### Explanation:

$\left(- \frac{3}{5}\right) \left(- \frac{8}{15}\right) \div \left(- 1 \frac{1}{5}\right)$

Let's take that right fraction and convert it into an improper form:

$\left(- \frac{3}{5}\right) \left(- \frac{8}{15}\right) \div \left(- \frac{6}{5}\right)$

When dividing by a fraction, we can multiply by its reciprocal:

$\left(- \frac{3}{5}\right) \left(- \frac{8}{15}\right) \left(- \frac{5}{6}\right)$

We have some opportunities to cancel:

$\left(\cancel{-} \frac{\cancel{3}}{\cancel{5}}\right) \left(\cancel{-} {\cancel{8}}^{4} / 15\right) \left(- \frac{\cancel{5}}{\cancel{6}} ^ \cancel{2}\right) = - \frac{4}{15}$