Ответ:
- а) \(\frac{4}{9}:\frac{3}{8}=\frac{4}{9}\cdot\frac{8}{3}=\frac{32}{27}=1\frac{5}{27}\).
- б) \(\frac{3}{7}:\frac{9}{14}=\frac{3}{7}\cdot\frac{14}{9}=\frac{2}{3}\).
- в) \(\frac{86}{113}:\frac{43}{51}=\frac{86}{113}\cdot\frac{51}{43}=\frac{102}{113}\).
- г) \(\frac{27}{64}:9=\frac{27}{64}\cdot\frac{1}{9}=\frac{3}{64}\).
- д) \(8:\frac{2}{3}=8\cdot\frac{3}{2}=12\).
- е) \(7:3=\frac{7}{3}=2\frac{1}{3}\).
- ж) \(2\frac{1}{7}:1\frac{11}{14}=\frac{15}{7}:\frac{25}{14}=\frac{15}{7}\cdot\frac{14}{25}=\frac{6}{5}=1\frac{1}{5}\).
- з) \(3\frac{3}{5}:1\frac{11}{25}=\frac{18}{5}:\frac{36}{25}=\frac{18}{5}\cdot\frac{25}{36}=\frac{5}{2}=2\frac{1}{2}\).
Ответ: а) \(1\frac{5}{27}\); б) \(\frac{2}{3}\); в) \(\frac{102}{113}\); г) \(\frac{3}{64}\); д) \(12\); е) \(2\frac{1}{3}\); ж) \(1\frac{1}{5}\); з) \(2\frac{1}{2}\).
