Вычислите: 13/15*8/19-13/15*(8/19-10/13).

\[\frac{13}{15} \cdot \frac{8}{19} - \frac{13}{15} \cdot \left( \frac{8}{19} - \frac{10}{13} \right) =\]

\[= \frac{13}{15} \cdot \left( \frac{8}{19} - \frac{8}{19} + \frac{10}{13} \right) =\]

\[= \frac{13}{15} \cdot \frac{10}{13} = \frac{2}{3}.\]