Chapter 4.1, Problem 47WE

To determine

To evaluate: The expression $\frac{4a}{ab+4}$ if $a=3$ and $b=-2$ .

Answer to Problem 47WE

The required answer is $-6$ .

Explanation of Solution

Given information:

The given expression $\frac{4a}{ab+4}$ if $a=3$ and $b=-2$ .

Calculation:

  $\begin{array}{l}=\frac{4a}{ab+4}\\ =\frac{4\cdot 3}{3\cdot \left(-2\right)+4}\end{array}$

(Replace a with 3 and b with -2)

  $\begin{array}{l}=\frac{12}{-6+4}\\ =\frac{12}{-2}\\ =-6\end{array}$

(Simplify)