Given:
The expression is
[tex]-\dfrac{2}{5}\ \div\left(\dfrac{8}{7}\times\dfrac{-7}{8}\right)\ \div-1[/tex]
To find:
The numerical value of the given expression.
Solution:
We have,
[tex]-\dfrac{2}{5}\div\left(\dfrac{8}{7}\times\dfrac{-7}{8}\right)\ \div-1[/tex]
On simplification, we get
[tex]=-\dfrac{2}{5}\div\left(-1\right)\ \div-1[/tex]
[tex]=-\dfrac{2}{5}\div \dfrac{-1}{-1}[/tex]
[tex]=-\dfrac{2}{5}\div 1[/tex]
[tex]=-\dfrac{2}{5}[/tex] [tex][\because a\div 1=a][/tex]
Therefore, the numerical value of the given expression is [tex]-\dfrac{2}{5}[/tex] and the correct option is B.
