Сделай кратно

Ответ:

1. \(1{,}7\)
2. \(\frac23\)
3. \(3{,}4\)
4. \(0{,}4\)
5. \(0{,}31\)
6. \(1{,}5\)

Ключевые шаги:

1. \(\left(1\frac35+1{,}8\right)\cdot\frac12=(1{,}6+1{,}8)\cdot0{,}5=1{,}7\).

2. \[ \left(6-4\frac8{15}\right):2{,}2 =\frac{22}{15}:\frac{11}{5} =\frac{22}{15}\cdot\frac5{11} =\frac23. \]

3. \[ \left(1{,}25+\frac16\right)\cdot2{,}4 =\left(\frac54+\frac16\right)\cdot\frac{12}{5} =\frac{17}{12}\cdot\frac{12}{5} =\frac{17}{5}=3{,}4. \]

4. \[ \left(5{,}4-2\frac13\right):7\frac23 =\frac{46}{15}:\frac{23}{3} =\frac{46}{15}\cdot\frac3{23} =\frac25=0{,}4. \]

5. \[ \left(2\frac13+0{,}25\right)\cdot0{,}12 =\left(\frac73+\frac14\right)\cdot\frac3{25} =\frac{31}{12}\cdot\frac3{25} =\frac{31}{100}=0{,}31. \]

6. \[ \left(7{,}6-4\frac34\right):1{,}9 =\frac{57}{20}:\frac{19}{10} =\frac{57}{20}\cdot\frac{10}{19} =\frac32=1{,}5. \]

При делении на дробь умножаем на обратную дробь.