Ответ:
- а) \[\left(4\frac{1}{3}+3\frac{1}{5}\right):113=\left(\frac{13}{3}+\frac{16}{5}\right):113=\frac{113}{15}:113=\frac{1}{15}.\]
- б) \[\left(6-7\frac{1}{8}\right)\cdot\left(\frac{2}{9}+\frac{2}{3}\right)=\left(6-\frac{57}{8}\right)\cdot\frac{8}{9}=\frac{-9}{8}\cdot\frac{8}{9}=-1.\]
- в) \[17:\left(4\frac{1}{3}-3\frac{1}{5}\right)=17:\left(\frac{13}{3}-\frac{16}{5}\right)=17:\frac{17}{15}=15.\]
- г) \[\left(15-4\frac{1}{8}\right)\cdot\left(3\frac{14}{15}-2\frac{3}{5}\right)=\frac{87}{8}\cdot\left(\frac{59}{15}-\frac{13}{5}\right)=\frac{87}{8}\cdot\frac{4}{3}=\frac{29}{2}=14\frac{1}{2}.\]
Ответ: а) \(\frac{1}{15}\); б) \(-1\); в) 15; г) \(14\frac{1}{2}\).
