Step 1 :The problem is asking to add two fractions. The first fraction is \(-\frac{5}{8}\) and the second fraction is \(-\frac{8}{5}\).
Step 2 :To add these fractions, we need to find a common denominator. The common denominator of 8 and 5 is 40.
Step 3 :So, we need to convert both fractions to have this common denominator and then add them.
Step 4 :The result of adding the two fractions is \(-\frac{89}{40}\). This fraction is already in its simplest form, so there is no need to simplify it further.
Step 5 :Final Answer: The final answer is \(\boxed{-\frac{89}{40}}\).