Answer
1
Work Step by Step
(-$\frac{6}{7}$) $\div$ ($\frac{5}{7}$) $\times$ (-$\frac{5}{6}$) =
RECALL:
$\frac{a}{b}$ $\div$ $\frac{c}{d}$ = $\frac{a}{b}$ $\times$ $\frac{d}{c}$
Use the rule above to obtain:
(-$\frac{6}{7}$) $\times$ ($\frac{7}{5}$) $\times$ (-$\frac{5}{6}$) =
Multiply the numerators by each other, and multiply the denominators by each other:
$\frac{(-6)\ \times\ (7)\ \times\ (-5)}{7\ \times\ 5\ \times\ 6}$ =
Factor the numerator and the denominator
$\frac{(-1)\ \times\ 2\ \times\ 3\ \times\ (7)\ \times\ (-5)}{7\ \times\ 5\ \times\ 2\ \times\ 3}$ =
Cancel the common factors in the numerator and the denominator to obtain:
$\frac{-1\times-1}{1}=1$
