Вычислить: \(\dfrac{1,2+\left(\left(9\frac{1}{6}:2,75-0,8\right)\cdot0,6+1\frac{7}{25}\right)\cdot1,75}{3\frac{1}{3}-0,4\cdot3\frac{2}{3}}+1\frac{1}{2}\).

1. \(9\frac{1}{6}:2,75-0,8=\frac{55}{6}:\frac{11}{4}-\frac{4}{5}=\frac{10}{3}-\frac{4}{5}=\frac{38}{15}\).
2. \(\frac{38}{15}\cdot0,6+1\frac{7}{25}=\frac{38}{15}\cdot\frac{3}{5}+\frac{32}{25}=\frac{38}{25}+\frac{32}{25}=\frac{14}{5}\).
3. \(\frac{14}{5}\cdot1,75=\frac{14}{5}\cdot\frac{7}{4}=\frac{49}{10}\).
4. Числитель: \(1,2+\frac{49}{10}=\frac{61}{10}\).
5. Знаменатель: \(3\frac{1}{3}-0,4\cdot3\frac{2}{3}=\frac{10}{3}-\frac{2}{5}\cdot\frac{11}{3}=\frac{28}{15}\).
6. \(\frac{61}{10}:\frac{28}{15}+\frac{1}{2}=\frac{183}{56}+\frac{28}{56}=\frac{211}{56}\).

Ответ: \(\frac{211}{56}=3\frac{43}{56}\).