Question

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

Answer 1

The given expression is

`-(1)/(4)(-(4)/(5)\colon(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} -(1)/(4)(-(4)/(5)\cdot(3)/(2))6 \\ -(1)/(4)(-(12)/(10))6 \end{gathered}`

Then, we solve all the multiplications.

`(-1\cdot(-12)\cdot6)/(4\cdot10)=(72)/(40)`

At last, we simplify.

`(72)/(40)=(36)/(20)=(18)/(10)=(9)/(5)`

Therefore, the right answer is A.