## Elementary Algebra

$= \frac{2}{7}$
We first multiply the numerators and the denominators of the fractions by each other. Then, we simplify the fractions to obtain: $(\frac{-3x}{12y})(\frac{8y}{-7x})$ $= \frac{-3x(8y)}{12y(-7x)}$ $= \frac{-24xy}{-84xy}$ $= \frac{2}{7}$