Ответ:
- а) \(9-\frac{16}{5}\cdot\frac53+\frac43=9-\frac{16}{3}+\frac43=\frac{11}{3}\).
- б) \(\frac{11}{3}-\frac7{15}+\frac{22}{5}\cdot\frac14=\frac{55-7}{15}+\frac{11}{10}=\frac{16}{5}+\frac{11}{10}=\frac{43}{10}=4\frac3{10}\).
- в) \(\left(\frac{23}{6}-\frac{11}{4}\right):\frac7{12}+\frac{11}{2}=\frac{13}{12}\cdot\frac{12}{7}+\frac{11}{2}=\frac{13}{7}+\frac{11}{2}=\frac{103}{14}=7\frac5{14}\).
- г) \(\frac83\left(\frac73+\frac{29}{12}\right)-\frac{24}{5}=\frac83\cdot\frac{19}{4}-\frac{24}{5}=\frac{38}{3}-\frac{24}{5}=\frac{118}{15}=7\frac{13}{15}\).
- д) \(\frac{25}{21}:\frac57-\frac25\cdot\frac57=\frac53-\frac27=\frac{29}{21}\).
- е) \(\frac{55}{48}:\left(\frac{22}{32}+\frac3{32}\right)-\frac{14}{15}\cdot\frac57=\frac{55}{48}\cdot\frac{32}{25}-\frac23=\frac{11}{15}-\frac23=\frac15\).
- ж) \(\frac{22}{7}\cdot\frac3{11}+\frac38:\frac7{12}=\frac67+\frac38\cdot\frac{12}{7}=\frac67+\frac9{14}=\frac{21}{14}=1\frac12\).
- з) \(\frac83:\frac{16}{9}+\frac{55}{84}:\left(\frac{43}{63}-\frac{23}{36}\right)=\frac32+\frac{55}{84}:\frac1{252}=\frac32+165=166\frac12\).
Ответ: а) \(\frac{11}{3}\); б) \(4\frac3{10}\); в) \(7\frac5{14}\); г) \(7\frac{13}{15}\); д) \(\frac{29}{21}\); е) \(\frac15\); ж) \(1\frac12\); з) \(166\frac12\).
