5.558 Найдите частное: a) \(\frac{7}{9} : \frac{7}{18}\); б) \(\frac{3}{4} : \frac{7}{9}\); в) \(\frac{6}{11} : \frac{6}{11}\); ж) \(\frac{5}{7} : \frac{1}{7}\); з) \(\frac{15}{22} : 5\).

a) \(\frac{7}{9} : \frac{7}{18} = \frac{7}{9} \cdot \frac{18}{7} = \frac{7 \cdot 18}{9 \cdot 7} = \frac{18}{9} = 2\) б) \(\frac{3}{4} : \frac{7}{9} = \frac{3}{4} \cdot \frac{9}{7} = \frac{3 \cdot 9}{4 \cdot 7} = \frac{27}{28}\) в) \(\frac{6}{11} : \frac{6}{11} = 1\) ж) \(\frac{5}{7} : \frac{1}{7} = \frac{5}{7} \cdot \frac{7}{1} = \frac{5 \cdot 7}{7 \cdot 1} = 5\) з) \(\frac{15}{22} : 5 = \frac{15}{22} \cdot \frac{1}{5} = \frac{15 \cdot 1}{22 \cdot 5} = \frac{3}{22}\)