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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

User Liath
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8.0k points

1 Answer

6 votes

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.

User Klortho
by
8.4k points
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