И $$\frac{4}{15}+2\frac{7}{12}-\frac{30}{128}:\frac{9}{32}$$

Выполним действия с дробями.

1. $$\frac{30}{128}:\frac{9}{32}=\frac{30}{128} \cdot \frac{32}{9}=\frac{30 \cdot 32}{128 \cdot 9}=\frac{960}{1152}=\frac{5}{6}$$
2. $$2\frac{7}{12}=\frac{31}{12}$$
3. $$\frac{4}{15}+\frac{31}{12}=\frac{4 \cdot 4}{15 \cdot 4}+\frac{31 \cdot 5}{12 \cdot 5}=\frac{16}{60}+\frac{155}{60}=\frac{171}{60}=\frac{57}{20}=2\frac{17}{20}$$
4. $$2\frac{17}{20}-\frac{5}{6}=\frac{57}{20}-\frac{5}{6}=\frac{57 \cdot 3}{20 \cdot 3}-\frac{5 \cdot 10}{6 \cdot 10}=\frac{171}{60}-\frac{50}{60}=\frac{121}{60}=2\frac{1}{60}$$

Ответ: $$2\frac{1}{60}$$