ыполни действия: 29. 39 2-1; 21 3 58 a) 3 10'6) 5 26 в) 40 4' г) 9 27

Выполняем действия:

1. a) \(3 \frac{2}{3} \cdot 10 = \frac{3 \cdot 3 + 2}{3} \cdot 10 = \frac{11}{3} \cdot 10 = \frac{110}{3} = 36 \frac{2}{3}\)
2. б) \(5 \frac{3}{5} - 1 \frac{9}{26} = \frac{5 \cdot 5 + 3}{5} - \frac{1 \cdot 26 + 9}{26} = \frac{28}{5} - \frac{35}{26} = \frac{28 \cdot 26 - 35 \cdot 5}{5 \cdot 26} = \frac{728 - 175}{130} = \frac{553}{130} = 4 \frac{33}{130}\)
3. в) \(40 \frac{21}{40} : 4 = \frac{40 \cdot 40 + 21}{40} : 4 = \frac{1621}{40} : 4 = \frac{1621}{40} \cdot \frac{1}{4} = \frac{1621}{160} = 10 \frac{21}{160}\)
4. г) \(9 \frac{5}{9} : 1 \frac{8}{27} = \frac{9 \cdot 9 + 5}{9} : \frac{1 \cdot 27 + 8}{27} = \frac{86}{9} : \frac{35}{27} = \frac{86}{9} \cdot \frac{27}{35} = \frac{86 \cdot 3}{35} = \frac{258}{35} = 7 \frac{13}{35}\)