5.558 Найдите частное:

Пошаговое решение:

1. а) \( \frac{7}{9} : \frac{7}{18} \)
   \( \frac{7}{9} \cdot \frac{18}{7} = \frac{7 \cdot 18}{9 \cdot 7} = \frac{18}{9} = 2 \)
2. б) \( \frac{3}{4} : \frac{7}{9} \)
   \( \frac{3}{4} \cdot \frac{9}{7} = \frac{3 \cdot 9}{4 \cdot 7} = \frac{27}{28} \)
3. в) \( \frac{6}{11} : 6 \)
   \( \frac{6}{11} \cdot \frac{1}{6} = \frac{6 \cdot 1}{11 \cdot 6} = \frac{1}{11} \)
4. г) \( \frac{15}{22} : 5 \)
   \( \frac{15}{22} \cdot \frac{1}{5} = \frac{15 \cdot 1}{22 \cdot 5} = \frac{15}{110} = \frac{3}{22} \)
5. д) \( \frac{1}{4} : \frac{1}{3} \)
   \( \frac{1}{4} \cdot \frac{3}{1} = \frac{1 \cdot 3}{4 \cdot 1} = \frac{3}{4} \)
6. е) \( \frac{5}{7} : \frac{1}{7} \)
   \( \frac{5}{7} \cdot \frac{7}{1} = \frac{5 \cdot 7}{7 \cdot 1} = 5 \)
7. ж) \( \frac{3}{7} : \frac{1}{14} \)
   \( \frac{3}{7} \cdot \frac{14}{1} = \frac{3 \cdot 14}{7 \cdot 1} = \frac{42}{7} = 6 \)
8. з) \( \frac{9}{13} : 3 \)
   \( \frac{9}{13} \cdot \frac{1}{3} = \frac{9 \cdot 1}{13 \cdot 3} = \frac{9}{39} = \frac{3}{13} \)