4.310 Выполните деление: a) 3\frac{5}{9}:(-\frac{4}{27}); б) -4\frac{1}{8}:(-33); в) -1\frac{3}{11}:(-3\frac{7}{22}).

а) \[3\frac{5}{9}:(-\frac{4}{27}) = \frac{32}{9} :(-\frac{4}{27}) = \frac{32}{9} \cdot (-\frac{27}{4}) = -\frac{32 \cdot 27}{9 \cdot 4} = -\frac{8 \cdot 3}{1 \cdot 1} = -24\]

б) \[-4\frac{1}{8}:(-33) = -\frac{33}{8} :(-33) = -\frac{33}{8} \cdot (-\frac{1}{33}) = \frac{33}{8 \cdot 33} = \frac{1}{8}\]

в) \[-1\frac{3}{11}:(-3\frac{7}{22}) = -\frac{14}{11} :(-\frac{73}{22}) = -\frac{14}{11} \cdot (-\frac{22}{73}) = \frac{14 \cdot 22}{11 \cdot 73} = \frac{2 \cdot 2}{1 \cdot 73} = \frac{4}{73}\]