Answer
$ -1$
Work Step by Step
(-$\frac{4}{3}$) $\div$ ($\frac{4}{5}$) $\times$ ($\frac{3}{5}$) =
RECALL:
$\frac{a}{b}$ $\div$ $\frac{c}{d}$ = $\frac{a}{b}$ $\times$ $\frac{d}{c}$
Use the rule above to obtain:
(-$\frac{4}{3}$) $\times$ ($\frac{5}{4}$) $\times$ ($\frac{3}{5}$) =
Multiply the numerators by each other, and multiply the denominators by each other:
$\frac{(-4)\ \times\ 5\ \times\ 3}{3\ \times\ 4\ \times\ 5}$ =
Cancel the common factors in the numerator and the denominator to obtain:
$\frac{(-4)\ \times\ 5\ \times\ 3}{3\ \times\ 4\ \times\ 5}= \frac{-1}{1}=-1$
