To add the fractions \(-\frac{8}{15}\) and \(\frac{4}{15}\), we can combine them since they have the same denominator:
\[ -\frac{8}{15} + \frac{4}{15} = \frac{-8 + 4}{15} = \frac{-4}{15} \]
So, the sum of \(-\frac{8}{15} + \frac{4}{15}\) is \(-\frac{4}{15}\).