Реши

\[ 3\frac{11}{18}\left(1\frac{2}{13}\cdot2\frac{1}{10}-\frac{2}{13}\cdot13\frac12\right) +5\left(4\frac23\cdot3\frac34-\frac67\cdot7\frac{14}{15}\right) \]

\[ 1\frac{2}{13}\cdot2\frac{1}{10}-\frac{2}{13}\cdot13\frac12 =\frac{15}{13}\cdot\frac{21}{10}-\frac{2}{13}\cdot\frac{27}{2} =\frac{9}{26}. \]

\[ 4\frac23\cdot3\frac34-\frac67\cdot7\frac{14}{15} =\frac{14}{3}\cdot\frac{15}{4}-\frac67\cdot\frac{119}{15} =\frac{107}{10}. \]

\[ 3\frac{11}{18}\cdot\frac{9}{26}+5\cdot\frac{107}{10} =\frac54+\frac{107}{2} =\frac{219}{4} =54\frac34. \]

Ответ: \(\boxed{54\frac34}\).