Ответ:

\[\left(\frac{19}{22}+\frac{22}{25}\right)\cdot 11=\frac{19\cdot11}{22}+\frac{22\cdot11}{25}\]

\[=\frac{19}{2}+\frac{242}{25}=\frac{475}{50}+\frac{484}{50}=\frac{959}{50}\]

Ответ: \(\frac{959}{50}\)