Add. \[ \frac{-5}{8 w^{2} y}+\frac{3}{4 w y^{2}} \] Simplify your answer as much as possible.

To add the fractions, we first need to find a common denominator. The least common multiple of \(8wy^2\) and \(4wy^2\) is \(8wy^2\). Now we can rewrite each fraction with the common denominator: \[ \frac{-5}{8wy} + \frac{3 \cdot 2}{4wy^2 \cdot 2} = \frac{-5}{8wy} + \frac{6}{8wy^2} \] We need to convert \(\frac{-5}{8wy}\) to have the common denominator \(8wy^2\): \[ \frac{-5 \cdot y}{8wy^2} = \frac{-5y}{8wy^2} \] Now we can combine the two fractions: \[ \frac{-5y + 6}{8wy^2} \] So, the final simplified answer is: \[ \frac{-5y + 6}{8wy^2} \] This is the simplest form of the expression.