Question

$\begin{array}{l}\text{Inthefollowingexercise,evaluate.}\\ \frac{a+b}{a-b}\text{When}\\ a=-3\text{and}b=8\end{array}$

Short answer

$\text{Theresultofevaluatingtheexpressionis}-\frac{5}{11}.$

Step-by-step solution

Step 1. Given information 

$\begin{array}{l}\text{Thegivenexpressionis}\\ \frac{a+b}{a-b}\\ \text{Also,}\\ a=-3\text{and}b=8\\ \text{Wewillevaluatetheexpressionforgivenvaluesof}a\text{and}b\end{array}$

Step 2. Substitute the value of a and b in the given expression 

$\begin{array}{l}\text{At}a=-3\text{and}b=8,\text{Wehave}\frac{a+b}{a-b}\text{as}\\ \Rightarrow \frac{-3+8}{-3-8}\\ =\frac{5}{-11}\\ =-\frac{5}{11}\end{array}$