44. Найдите значения выражений: а) \(\frac{\frac{1}{2}}{\frac{3}{4}}\), \(\frac{\frac{2}{3}}{\frac{1}{3}}\), \(\frac{\frac{1}{4}}{\frac{3}{8}}\); б) \(\frac{1}{\frac{2}{3}}\), \(\frac{1}{\frac{1}{7}}\), \(\frac{1}{\frac{5}{2}}\); в) \(\frac{8}{5}\cdot\frac{2}{3}\cdot\frac{2}{5}\).

а)

1. \(\frac{1}{2}:\frac{3}{4}=\frac{1}{2}\cdot\frac{4}{3}=\frac{2}{3}\);
2. \(\frac{2}{3}:\frac{1}{3}=\frac{2}{3}\cdot3=2\);
3. \(\frac{1}{4}:\frac{3}{8}=\frac{1}{4}\cdot\frac{8}{3}=\frac{2}{3}\).

б)

1. \(1:\frac{2}{3}=\frac{3}{2}\);
2. \(1:\frac{1}{7}=7\);
3. \(1:\frac{5}{2}=\frac{2}{5}\).

в) \(\frac{8}{5}\cdot\frac{2}{3}\cdot\frac{2}{5}=\frac{32}{75}\).

Ответ: а) \(\frac{2}{3};\ 2;\ \frac{2}{3};\quad б) \(\frac{3}{2};\ 7;\ \frac{2}{5};\quad в) \(\frac{32}{75}\).