Ответ:

\(1\frac{5}{12}\cdot2=\frac{17}{12}\cdot2=\frac{17}{6}\).

\(4\cdot1\frac{1}{18}=4\cdot\frac{19}{18}=\frac{38}{9}\).

\(1\frac{1}{9}\cdot1\frac{1}{4}=\frac{10}{9}\cdot\frac{5}{4}=\frac{25}{18}\).

\(\frac{17}{6}+\frac{38}{9}+\frac{25}{18}=\frac{51+76+25}{18}=\frac{152}{18}=\frac{76}{9}=8\frac{4}{9}\).

Ответ: \(8\frac{4}{9}\).