Question

What is the value of the numerical expression below? -\frac{2}{5}\ \div\left(\frac{8}{7}\times\frac{-7}{8}\right)\ \div-1− 5 2 ​ ÷( 7 8 ​ × 8 −7 ​ ) ÷−1 Show your work. A. -1 B. -\frac{2}{5}− 5 2 ​ C. \frac{2}{5} 5 2 ​ D. 1

Answer 1

Given:

The expression is

`-(2)/(5)\ /\left((8)/(7)*(-7)/(8)\right)\ /-1`

To find:

The numerical value of the given expression.

Solution:

We have,

`-(2)/(5)/\left((8)/(7)*(-7)/(8)\right)\ /-1`

On simplification, we get

`=-(2)/(5)/\left(-1\right)\ /-1`

`=-(2)/(5)/ (-1)/(-1)`

`=-(2)/(5)/ 1`

`=-(2)/(5)`
`[\because a/ 1=a]`

Therefore, the numerical value of the given expression is
`-(2)/(5)` and the correct option is B.