## Elementary Algebra

$-1$
(-$\frac{4}{3}$) $\div$ ($\frac{4}{5}$) $\times$ ($\frac{3}{5}$) = 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: $\frac{(-4)\ \times\ 5\ \times\ 3}{3\ \times\ 4\ \times\ 5}= \frac{-1}{1}=-1$