5.558 Найдите частное: а) \(\frac{7}{9}\) : \(\frac{7}{18}\); б) \(\frac{3}{4}\) : \(\frac{7}{9}\); в) \(\frac{6}{11}\) : \(\frac{6}{11}\); г) \(\frac{5}{13}\) : \(\frac{1}{3}\); д) 1 : \(\frac{1}{4}\); ж) \(\frac{5}{22}\) : \(\frac{1}{5}\).

Выполним деление дробей: а) \(\frac{7}{9} : \frac{7}{18} = \frac{7}{9} \cdot \frac{18}{7} = \frac{7 \cdot 18}{9 \cdot 7} = \frac{18}{9} = 2\). 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) \(\frac{6}{11} : \frac{6}{11} = \frac{6}{11} \cdot \frac{11}{6} = \frac{6 \cdot 11}{11 \cdot 6} = 1\). г) \(\frac{5}{13} : \frac{1}{3} = \frac{5}{13} \cdot \frac{3}{1} = \frac{5 \cdot 3}{13 \cdot 1} = \frac{15}{13} = 1\frac{2}{13}\). д) \(1 : \frac{1}{4} = 1 \cdot \frac{4}{1} = 4\). ж) \(\frac{5}{22} : \frac{1}{5} = \frac{5}{22} \cdot \frac{5}{1} = \frac{5 \cdot 5}{22 \cdot 1} = \frac{25}{22} = 1\frac{3}{22}\).

Ответ: а) 2; б) \(\frac{27}{28}\); в) 1; г) \(1\frac{2}{13}\); д) 4; ж) \(1\frac{3}{22}\)