Chapter 1, Problem 23PT

To determine

To evaluate: The expression $\frac{3\left(x+y\right)}{4x{y}^2}$ .

Answer to Problem 23PT

The value of the expression is $-\frac{3}{8}$ .

Explanation of Solution

Given:

It is given that $x=\frac{2}{3}$ and $y=-2$ .

Calculation:

Substitute $\frac{2}{3}$ for $x$ , and, $-2$ for $y$ in the expression $\frac{3\left(x+y\right)}{4x{y}^2}$ .

  $\begin{array}{c}\frac{3\left(\frac{2}{3}-2\right)}{4\left(\frac{2}{3}\right){\left(-2\right)}^2}=\frac{-4}{\frac{32}{3}}\\ =-4\left(\frac{3}{32}\right)\\ =-\frac{3}{8}\end{array}$

Therefore, the value of the expression is $-\frac{3}{8}$ .