Задание №3. Поделите обыкновенные дроби, а потом сократите: а) 4/5 : 1/2; б) 5/3 : 2/6; в) 1/2 : 3/4; г) 8/11 : 16/77; д) 5/23 : 15/46; е) 14/25 : 21/50; ж) 7/13 : 5/52; з) 12/13 : 20/50; и) 13/24 : 13/48.

1. \(\frac{4}{5}:\frac{1}{2}=\frac{4}{5}\cdot\frac{2}{1}=\frac{8}{5}\).
2. \(\frac{5}{3}:\frac{2}{6}=\frac{5}{3}\cdot\frac{6}{2}=5\).
3. \(\frac{1}{2}:\frac{3}{4}=\frac{1}{2}\cdot\frac{4}{3}=\frac{2}{3}\).
4. \(\frac{8}{11}:\frac{16}{77}=\frac{8}{11}\cdot\frac{77}{16}=\frac{7}{2}\).
5. \(\frac{5}{23}:\frac{15}{46}=\frac{5}{23}\cdot\frac{46}{15}=\frac{2}{3}\).
6. \(\frac{14}{25}:\frac{21}{50}=\frac{14}{25}\cdot\frac{50}{21}=\frac{4}{3}\).
7. \(\frac{7}{13}:\frac{5}{52}=\frac{7}{13}\cdot\frac{52}{5}=\frac{28}{5}\).
8. \(\frac{12}{13}:\frac{20}{50}=\frac{12}{13}\cdot\frac{50}{20}=\frac{30}{13}\).
9. \(\frac{13}{24}:\frac{13}{48}=\frac{13}{24}\cdot\frac{48}{13}=2\).

Ответ: а) \(\frac{8}{5}\); б) \(5\); в) \(\frac{2}{3}\); г) \(\frac{7}{2}\); д) \(\frac{2}{3}\); е) \(\frac{4}{3}\); ж) \(\frac{28}{5}\); з) \(\frac{30}{13}\); и) \(2\).