8. \((\frac{2}{15}+\frac{7}{12})*\frac{30}{43}-(2:2\frac{1}{2})*\frac{5}{32}\)

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

\[=\left(\frac{8}{60}+\frac{35}{60}\right)\cdot\frac{30}{43}-\left(2:\frac{5}{2}\right)\cdot\frac{5}{32}\]

\[=\frac{43}{60}\cdot\frac{30}{43}-\frac{4}{5}\cdot\frac{5}{32}=\frac{1}{2}-\frac{1}{8}=\frac{3}{8}\]

Ответ: \(\frac{3}{8}\).