Б. 1) \(2\frac{1}{3}:\frac{7}{9}=\) 2) \(1\frac{3}{4}:\frac{7}{9}=\) 3) \(1\frac{1}{4}:1\frac{1}{6}=\) 4) \(4\frac{3}{4}:1\frac{1}{2}=\) 5) \(\frac{6}{7}:1\frac{1}{5}=\) 6) \(2\frac{2}{3}:1\frac{1}{3}=\) 7) \(2\frac{5}{14}:3\frac{1}{7}=\) 8) \(4\frac{1}{2}:2\frac{1}{4}=\) 9) \(5\frac{1}{4}:2\frac{5}{8}=\) 10) \(3\frac{3}{4}:7\frac{1}{2}=\) 11) \(1\frac{2}{3}:5=\) 12) \(9\frac{1}{2}:1=\) 13) \(5\frac{1}{8}:8=\) 14) \(10:\frac{1}{9}=\) 15) \(7:2\frac{1}{3}=\)

Решим примеры:

1. \(2\frac{1}{3}:\frac{7}{9}=\frac{7}{3}:\frac{7}{9}=\frac{7}{3} \cdot \frac{9}{7}=\frac{7 \cdot 9}{3 \cdot 7}=\frac{1 \cdot 3}{1 \cdot 1}=3\)
2. \(1\frac{3}{4}:\frac{7}{9}=\frac{7}{4}:\frac{7}{9}=\frac{7}{4} \cdot \frac{9}{7}=\frac{7 \cdot 9}{4 \cdot 7}=\frac{1 \cdot 9}{4 \cdot 1}=\frac{9}{4}=2\frac{1}{4}\)
3. \(1\frac{1}{4}:1\frac{1}{6}=\frac{5}{4}:\frac{7}{6}=\frac{5}{4} \cdot \frac{6}{7}=\frac{5 \cdot 6}{4 \cdot 7}=\frac{5 \cdot 3}{2 \cdot 7}=\frac{15}{14}=1\frac{1}{14}\)
4. \(4\frac{3}{4}:1\frac{1}{2}=\frac{19}{4}:\frac{3}{2}=\frac{19}{4} \cdot \frac{2}{3}=\frac{19 \cdot 2}{4 \cdot 3}=\frac{19 \cdot 1}{2 \cdot 3}=\frac{19}{6}=3\frac{1}{6}\)
5. \(\frac{6}{7}:1\frac{1}{5}=\frac{6}{7}:\frac{6}{5}=\frac{6}{7} \cdot \frac{5}{6}=\frac{6 \cdot 5}{7 \cdot 6}=\frac{1 \cdot 5}{7 \cdot 1}=\frac{5}{7}\)
6. \(2\frac{2}{3}:1\frac{1}{3}=\frac{8}{3}:\frac{4}{3}=\frac{8}{3} \cdot \frac{3}{4}=\frac{8 \cdot 3}{3 \cdot 4}=\frac{2 \cdot 1}{1 \cdot 1}=2\)
7. \(2\frac{5}{14}:3\frac{1}{7}=\frac{33}{14}:\frac{22}{7}=\frac{33}{14} \cdot \frac{7}{22}=\frac{33 \cdot 7}{14 \cdot 22}=\frac{3 \cdot 1}{2 \cdot 2}=\frac{3}{4}\)
8. \(4\frac{1}{2}:2\frac{1}{4}=\frac{9}{2}:\frac{9}{4}=\frac{9}{2} \cdot \frac{4}{9}=\frac{9 \cdot 4}{2 \cdot 9}=\frac{1 \cdot 2}{1 \cdot 1}=2\)
9. \(5\frac{1}{4}:2\frac{5}{8}=\frac{21}{4}:\frac{21}{8}=\frac{21}{4} \cdot \frac{8}{21}=\frac{21 \cdot 8}{4 \cdot 21}=\frac{1 \cdot 2}{1 \cdot 1}=2\)
10. \(3\frac{3}{4}:7\frac{1}{2}=\frac{15}{4}:\frac{15}{2}=\frac{15}{4} \cdot \frac{2}{15}=\frac{15 \cdot 2}{4 \cdot 15}=\frac{1 \cdot 1}{2 \cdot 1}=\frac{1}{2}\)
11. \(1\frac{2}{3}:5=\frac{5}{3}:\frac{5}{1}=\frac{5}{3} \cdot \frac{1}{5}=\frac{5 \cdot 1}{3 \cdot 5}=\frac{1 \cdot 1}{3 \cdot 1}=\frac{1}{3}\)
12. \(9\frac{1}{2}:1=\frac{19}{2}:\frac{1}{1}=\frac{19}{2} \cdot \frac{1}{1}=\frac{19}{2}=9\frac{1}{2}\)
13. \(5\frac{1}{8}:8=\frac{41}{8}:\frac{8}{1}=\frac{41}{8} \cdot \frac{1}{8}=\frac{41 \cdot 1}{8 \cdot 8}=\frac{41}{64}\)
14. \(10:\frac{1}{9}=\frac{10}{1}:\frac{1}{9}=\frac{10}{1} \cdot \frac{9}{1}=\frac{10 \cdot 9}{1 \cdot 1}=\frac{90}{1}=90\)
15. \(7:2\frac{1}{3}=\frac{7}{1}:\frac{7}{3}=\frac{7}{1} \cdot \frac{3}{7}=\frac{7 \cdot 3}{1 \cdot 7}=\frac{1 \cdot 3}{1 \cdot 1}=3\)

Ответ: 1) \(3\); 2) \(2\frac{1}{4}\); 3) \(1\frac{1}{14}\); 4) \(3\frac{1}{6}\); 5) \(\frac{5}{7}\); 6) \(2\); 7) \(\frac{3}{4}\); 8) \(2\); 9) \(2\); 10) \(\frac{1}{2}\); 11) \(\frac{1}{3}\); 12) \(9\frac{1}{2}\); 13) \(\frac{41}{64}\); 14) \(90\); 15) \(3\)