Вариант 2. Выполните деление:

Решение:

1. \(\frac{5}{9} : \frac{3}{5} = \frac{5}{9} \cdot \frac{5}{3} = \frac{25}{27}\)
2. \(\frac{10}{51} : \frac{15}{68} = \frac{10}{51} \cdot \frac{68}{15} = \frac{10 € \cdot 68}{51 € 15} = \frac{2 € 4}{3 € 3} = \frac{8}{9}\)
3. \(14 : \frac{7}{8} = 14 \cdot \frac{8}{7} = \frac{14 € 8}{7} = 2 € 8 = 16\)
4. \(7 \frac{6}{7} : 9 \frac{3}{7} = \frac{55}{7} : \frac{66}{7} = \frac{55}{7} \cdot \frac{7}{66} = \frac{55}{66} = \frac{5}{6}\)
5. \(\frac{24}{25} : 12 = \frac{24}{25} \cdot \frac{1}{12} = \frac{24}{25 € 12} = \frac{2}{25}\)
6. \(3 \frac{5}{9} : 2 \frac{2}{3} = \frac{32}{9} : \frac{8}{3} = \frac{32}{9} \cdot \frac{3}{8} = \frac{32 € 3}{9 € 8} = \frac{4 € 1}{3 € 1} = \frac{4}{3}\)
7. \(3 \frac{5}{8} : \frac{3}{7} = \frac{29}{8} : \frac{3}{7} = \frac{29}{8} \cdot \frac{7}{3} = \frac{203}{24}\)
8. \(8 \frac{1}{3} : 2 \frac{2}{3} = \frac{25}{3} : \frac{8}{3} = \frac{25}{3} \cdot \frac{3}{8} = \frac{25}{8}\)
9. \(6 : 3 = 2\)
10. \(3 \frac{2}{9} : 2 \frac{11}{12} = \frac{29}{9} : \frac{35}{12} = \frac{29}{9} \cdot \frac{12}{35} = \frac{29 € 12}{9 € 35} = \frac{29 € 4}{3 € 35} = \frac{116}{105}\)
11. \(14 \frac{8}{15} : \frac{8}{15} = \frac{218}{15} : \frac{8}{15} = \frac{218}{15} \cdot \frac{15}{8} = \frac{218}{8} = \frac{109}{4}\)
12. \(\frac{27}{52} : \frac{81}{65} = \frac{27}{52} \cdot \frac{65}{81} = \frac{27 € 65}{52 € 81} = \frac{1 € 5}{4 € 3} = \frac{5}{12}\)
13. \(\frac{5}{9} : \frac{10}{27} = \frac{5}{9} \cdot \frac{27}{10} = \frac{5 € 27}{9 € 10} = \frac{1 € 3}{1 € 2} = \frac{3}{2}\)
14. \(4 \frac{2}{9} : 2 \frac{2}{3} = \frac{38}{9} : \frac{8}{3} = \frac{38}{9} \cdot \frac{3}{8} = \frac{38 € 3}{9 € 8} = \frac{38}{3 € 8} = \frac{19}{3 € 4} = \frac{19}{12}\)
15. \(32 \frac{8}{9} : 6 = \frac{296}{9} : 6 = \frac{296}{9} \cdot \frac{1}{6} = \frac{296}{54} = \frac{148}{27}\)
16. \(\frac{12}{13} : 6 = \frac{12}{13} \cdot \frac{1}{6} = \frac{12}{13 € 6} = \frac{2}{13}\)

Ответ:
а) \(\frac{25}{27}\)
д) \(\frac{8}{9}\)
и) \(16\)
б) \(\frac{5}{6}\)
е) \(\frac{2}{25}\)
к) \(\frac{4}{3}\)
б) \(\frac{203}{24}\)
х) \(\frac{25}{8}\)
л) \(2\)
г) \(\frac{116}{105}\)
3) \(\frac{109}{4}\)
м) \(\frac{5}{12}\)
а) \(\frac{3}{2}\)
б) \(\frac{19}{12}\)
в) \(\frac{148}{27}\)
г) \(\frac{2}{13}\)