\[\frac{8}{15} \cdot \left( - \frac{1}{2} \right) - \frac{3}{10}\ :\left( - \frac{6}{5} \right) =\]
\[= - \frac{4}{15} + \frac{3}{10} \cdot \frac{5}{6} = - \frac{4^{\backslash 4}}{15} + \frac{1^{\backslash 15}}{4} =\]
\[= \frac{- 16 + 15}{60} = - \frac{1}{60}.\]