Choose the one alternative that best completes the statement or answers the question.
Simplify the complex fraction
-$\frac{\frac{9}{y}}{\frac{6}{y-8}}$

A) $\frac{y-8}{54 y}$

B) $54 y(y-8)$

C) $\frac{3(y-8)}{2 y}$

D) $\frac{2 y}{3(y-8)}$

Question

Choose the one alternative that best completes the statement or answers the question.
Simplify the complex fraction
-$\frac{\frac{9}{y}}{\frac{6}{y-8}}$

A) $\frac{y-8}{54 y}$

B) $54 y(y-8)$

C) $\frac{3(y-8)}{2 y}$

D) $\frac{2 y}{3(y-8)}$

Quizplus · Accepted Answer

To simplify $\frac{\frac{9}{y}}{\frac{6}{y-8}}$, you multiply the numerator by the reciprocal of the denominator: $\frac{9}{y} \times \frac{y-8}{6}$. Simplifying this gives $\frac{9(y-8)}{6y}$, which simplifies further to $\frac{3(y-8)}{2y}$.

Choose the One Alternative That Best Completes the Statement or Answers