в) \(\left(\frac{2}{15}+\frac{7}{12}\right) \cdot \frac{30}{43} - 2:2\frac{1}{2} \cdot \frac{5}{32};\)

в) Выполним действия:

1) $$ \frac{2}{15} + \frac{7}{12} = \frac{2 \cdot 4 + 7 \cdot 5}{60} = \frac{8 + 35}{60} = \frac{43}{60};$$

2) $$ \frac{43}{60} \cdot \frac{30}{43} = \frac{43 \cdot 30}{60 \cdot 43} = \frac{30}{60} = \frac{1}{2};$$

3) $$2:2\frac{1}{2} = 2:\frac{5}{2} = 2 \cdot \frac{2}{5} = \frac{4}{5};$$

4) $$ \frac{4}{5} \cdot \frac{5}{32} = \frac{4 \cdot 5}{5 \cdot 32} = \frac{4}{32} = \frac{1}{8};$$

5) $$ \frac{1}{2} - \frac{1}{8} = \frac{4 - 1}{8} = \frac{3}{8}.$$

Ответ: $$\frac{3}{8}$$.