1. Выполните деление. 9 1):3 166 16 64 25 45 = 2):63= 3) 72 13 17 51 1 == -:-= 8 19 5)1:23 = 6) 3: 9 7 14 28 7)3= 93 7 8) 14:2 3 4 7 4 = 9):21 = 25 3 5 25 -:-= 10) 4 7 36

Решение:

• 1. \( \frac{9}{16} : \frac{3}{64} = \frac{9}{16} \cdot \frac{64}{3} = \frac{9 \cdot 64}{16 \cdot 3} = \frac{3 \cdot 4}{1 \cdot 1} = 12 \)
• 2. \( \frac{72}{25} : \frac{45}{63} = \frac{72}{25} \cdot \frac{63}{45} = \frac{72 \cdot 63}{25 \cdot 45} = \frac{8 \cdot 7}{25 \cdot 5} = \frac{56}{125} \)
• 3. \( \frac{13}{17} : \frac{5}{1} = \frac{13}{17} \cdot \frac{1}{5} = \frac{13 \cdot 1}{17 \cdot 5} = \frac{13}{85} \)
• 4. \( \frac{8}{19} : \frac{2}{1} = \frac{8}{19} \cdot \frac{1}{2} = \frac{8 \cdot 1}{19 \cdot 2} = \frac{4}{19} \)
• 5. \( \frac{1}{23} : \frac{19}{1} = \frac{1}{23} \cdot \frac{1}{19} = \frac{1 \cdot 1}{23 \cdot 19} = \frac{1}{437} \)
• 6. \( \frac{3}{7} : \frac{9}{14} = \frac{3}{7} \cdot \frac{14}{9} = \frac{3 \cdot 14}{7 \cdot 9} = \frac{1 \cdot 2}{1 \cdot 3} = \frac{2}{3} \)
• 7. \( \frac{2}{9} : \frac{8}{3} = \frac{2}{9} \cdot \frac{3}{8} = \frac{2 \cdot 3}{9 \cdot 8} = \frac{1 \cdot 1}{3 \cdot 4} = \frac{1}{12} \)
• 8. \( \frac{14}{7} : \frac{4}{3} = \frac{2}{1} \cdot \frac{3}{4} = \frac{2 \cdot 3}{1 \cdot 4} = \frac{1 \cdot 3}{1 \cdot 2} = \frac{3}{2} \)
• 9. \( \frac{7}{25} : \frac{21}{1} = \frac{7}{25} \cdot \frac{1}{21} = \frac{7 \cdot 1}{25 \cdot 21} = \frac{1}{25 \cdot 3} = \frac{1}{75} \)
• 10. \( \frac{3}{4} : \frac{5}{7} : \frac{25}{36} = \frac{3}{4} \cdot \frac{7}{5} \cdot \frac{36}{25} = \frac{3 \cdot 7 \cdot 36}{4 \cdot 5 \cdot 25} = \frac{3 \cdot 7 \cdot 9}{1 \cdot 5 \cdot 25} = \frac{189}{125} \)

Ответ: 1. 12, 2. 56/125, 3. 13/85, 4. 4/19, 5. 1/437, 6. 2/3, 7. 1/12, 8. 3/2, 9. 1/75, 10. 189/125