Давай выполним деление дробей по порядку. Вспомним, что деление дробей - это умножение на перевернутую дробь.
1) \[\frac{4}{7}: \frac{4}{5} = \frac{4}{7} \times \frac{5}{4} = \frac{4 \times 5}{7 \times 4} = \frac{20}{28} = \frac{5}{7}\]
2) \[5: \frac{1}{2} = 5 \times \frac{2}{1} = 5 \times 2 = 10\]
3) \[1: \frac{6}{7} = 1 \times \frac{7}{6} = \frac{7}{6} = 1 \frac{1}{6}\]
4) \[\frac{6}{11}: 3 = \frac{6}{11} \times \frac{1}{3} = \frac{6 \times 1}{11 \times 3} = \frac{6}{33} = \frac{2}{11}\]
5) \[12: 48 = \frac{12}{48} = \frac{1}{4}\]
6) \[8: 2 \frac{2}{3} = 8: \frac{8}{3} = 8 \times \frac{3}{8} = \frac{8 \times 3}{8} = 3\]
7) \[8 \frac{1}{3}: \frac{5}{9} = \frac{25}{3}: \frac{5}{9} = \frac{25}{3} \times \frac{9}{5} = \frac{25 \times 9}{3 \times 5} = \frac{5 \times 3}{1} = 15\]
8) \[\frac{2}{5}: 2 \frac{4}{5} = \frac{2}{5}: \frac{14}{5} = \frac{2}{5} \times \frac{5}{14} = \frac{2 \times 5}{5 \times 14} = \frac{1}{7}\]
9) \[3 \frac{1}{4}: 2 \frac{1}{6} = \frac{13}{4}: \frac{13}{6} = \frac{13}{4} \times \frac{6}{13} = \frac{13 \times 6}{4 \times 13} = \frac{6}{4} = \frac{3}{2} = 1 \frac{1}{2}\]
Ответ: 1) \(\frac{5}{7}\); 2) 10; 3) 1 \(\frac{1}{6}\); 4) \(\frac{2}{11}\); 5) \(\frac{1}{4}\); 6) 3; 7) 15; 8) \(\frac{1}{7}\); 9) 1 \(\frac{1}{2}\)