Ответ:

\[\left(\frac{11}{15}+\frac{13}{30}\right)\cdot\frac{18}{25}=\left(\frac{22}{30}+\frac{13}{30}\right)\cdot\frac{18}{25}\]

\[=\frac{35}{30}\cdot\frac{18}{25}=\frac{7}{6}\cdot\frac{18}{25}=\frac{21}{25}\]

Ответ: \(\frac{21}{25}\)