Simplify the following:$\frac{-3}{5} \times( \frac{25}{12} + \frac{5}{4} )$

Given: $\frac{-3}{5} \times( \frac{25}{12} + \frac{5}{4} )$

To do: Solve the given expression.

Solution:

 $\frac{-3}{5} \times( \frac{25}{12} + \frac{5}{4} )$

= $\frac{-3}{5} \times (\frac{25}{12} +\frac{5\times3}{4\times3})$

= $\frac{-3}{5} \times (\frac{25}{12} + \frac{15}{12}$)

= $\frac{-3}{5} \times \frac{25+15}{12}$

=$\frac{-3}{5}\times\frac{40}{12}$

=$\frac{-8}{4}$

=$-2$

Therefore , the value of the expression is $-2$