Question

Evaluate variable expression with fraction,$\frac{a+b}{a-b}$When$a=-4,b=6$

Short answer

The simplified value of the variable expression is$\frac{-1}{5}$

Step-by-step solution

Step 1, Given information

The given variable expression is$\frac{a+b}{a-b}$

Step 2. Substitute the value of variables 

Putting the value of $a=-4,b=6$in the given expression

$$\begin{gathered} \frac{a+b}{a-b} \\ =\frac{-4+6}{-4-6} \\ =\frac{2}{-10} \\ =\frac{-1}{5} \end{gathered}$$

Step 3. Conclusion

Hence, the simplified value is$\frac{-1}{5}$