а) \(9\frac{7}{15}+2\frac{1}{5}=11+\frac{7}{15}+\frac{3}{15}=11\frac{2}{3}\).
б) \(2\frac{5}{32}-1\frac{7}{36}=1+\frac{5}{32}-\frac{7}{36}=1+\frac{45}{288}-\frac{56}{288}=\frac{277}{288}\).
в) \(2\frac{7}{16}-\left(2\frac{3}{8}-1\frac{2}{3}\right)+2\frac{7}{12}=2\frac{7}{16}-\frac{17}{24}+2\frac{7}{12}\). Приведём к знаменателю 48: \(\frac{119}{48}-\frac{34}{48}+\frac{103}{48}=\frac{188}{48}=3\frac{11}{12}\).
Ответ: а) \(11\frac{2}{3}\); б) \(\frac{277}{288}\); в) \(3\frac{11}{12}\).