4) 2 : 3 1/5 + (3 1/4 : 13) · 2/3 − (2 5/18 − 17/36) · 18/65

Преобразуем смешанные числа: \(3\frac{1}{5}=\frac{16}{5}\), \(3\frac{1}{4}=\frac{13}{4}\), \(2\frac{5}{18}=\frac{41}{18}\).

\(2:\frac{16}{5}=\frac{5}{8}\), а \(\left(\frac{13}{4}:13\right)\cdot\frac{2}{3}=\frac{1}{4}\cdot\frac{2}{3}=\frac{1}{6}\).

\(\left(\frac{41}{18}-\frac{17}{36}\right)\cdot\frac{18}{65}=\frac{65}{36}\cdot\frac{18}{65}=\frac{1}{2}\).

\(\frac{5}{8}+\frac{1}{6}-\frac{1}{2}=\frac{15}{24}+\frac{4}{24}-\frac{12}{24}=\frac{7}{24}\).

Ответ: \(\frac{7}{24}\).