633) Выполните деление: a) 4/9 : 3/8; B) 86/113 : 43/51; г) 27/64 : 9; д) 8: 2/3; ж) 2 1/7 : 1 11/14; 3) 3 3/5 : 1 11/25.

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

в) \(\frac{86}{113} : \frac{43}{51} = \frac{86}{113} \cdot \frac{51}{43} = \frac{2 \cdot 43 \cdot 3 \cdot 17}{113 \cdot 43} = \frac{2 \cdot 3 \cdot 17}{113} = \frac{102}{113}\)

г) \(\frac{27}{64} : 9 = \frac{27}{64} \cdot \frac{1}{9} = \frac{3 \cdot 9}{64 \cdot 9} = \frac{3}{64}\)

д) \(8 : \frac{2}{3} = 8 \cdot \frac{3}{2} = \frac{8 \cdot 3}{2} = \frac{4 \cdot 2 \cdot 3}{2} = 4 \cdot 3 = 12\)

ж) \(2 \frac{1}{7} : 1 \frac{11}{14} = \frac{15}{7} : \frac{25}{14} = \frac{15}{7} \cdot \frac{14}{25} = \frac{3 \cdot 5 \cdot 2 \cdot 7}{7 \cdot 5 \cdot 5} = \frac{3 \cdot 2}{5} = \frac{6}{5} = 1 \frac{1}{5}\)

з) \(3 \frac{3}{5} : 1 \frac{11}{25} = \frac{18}{5} : \frac{36}{25} = \frac{18}{5} \cdot \frac{25}{36} = \frac{18 \cdot 5 \cdot 5}{5 \cdot 18 \cdot 2} = \frac{5}{2} = 2 \frac{1}{2}\)