2. Выполните действие. а) 1 5/17 · (7 − 4/11) = б) (4,3 : 1,2 − 1,06) : 1,6 = в) 1 7/8 : 3,2 : 2 1/3 = г) 4 5/9 : 5/8 : 7,2 = д) 1 5/9 : 3,6 : 5/7 = е) 1,08 : 5/6 : 5/7 =

а)

\[1\frac{5}{17}\cdot\left(7-\frac{4}{11}\right)=\frac{22}{17}\cdot\frac{73}{11}=\frac{146}{17}=8\frac{10}{17}.\]

б)

\[(4,3:1,2-1,06):1,6=\left(\frac{43}{12}-\frac{53}{50}\right):\frac85=\frac{757}{300}\cdot\frac58=\frac{757}{480}=1\frac{277}{480}.\]

в)

\[1\frac78:3,2:2\frac13=\frac{15}{8}:\frac{16}{5}:\frac73=\frac{15}{8}\cdot\frac5{16}\cdot\frac37=\frac{225}{896}.\]

г)

\[4\frac59:\frac58:7,2=\frac{41}{9}\cdot\frac85\cdot\frac5{36}=\frac{82}{81}=1\frac1{81}.\]

д)

\[1\frac59:3,6:\frac57=\frac{14}{9}:\frac{18}{5}:\frac57=\frac{14}{9}\cdot\frac5{18}\cdot\frac75=\frac{49}{81}.\]

е)

\[1,08:\frac56:\frac57=\frac{27}{25}\cdot\frac65\cdot\frac75=\frac{1134}{625}=1,8144.\]

Ответ: а) \(8\frac{10}{17}\); б) \(1\frac{277}{480}\); в) \(\frac{225}{896}\); г) \(1\frac1{81}\); д) \(\frac{49}{81}\); е) \(1,8144\).