Question

Use properties to evaluate - - - *)6. 9 5 O A. O B. O c. O D. - 9 5

Answer 1

The given expression is

$-\frac{1}{4}(-\frac{4}{5}\colon\frac{2}{3})6$

First, we solve the division. We just have to change the fraction 2/3 to its reciprocal, that way we would have a multiplication.

$\begin{gathered} -\frac{1}{4}(-\frac{4}{5}\cdot\frac{3}{2})6 \\ -\frac{1}{4}(-\frac{12}{10})6 \end{gathered}$

Then, we solve all the multiplications.

$\frac{-1\cdot(-12)\cdot6}{4\cdot10}=\frac{72}{40}$

At last, we simplify.

$\frac{72}{40}=\frac{36}{20}=\frac{18}{10}=\frac{9}{5}$

Therefore, the right answer is A.