5.558 Найдите частное: a) 9⋅18; б) : 43 в) :49 г) :14 д) :11; ж) :1; e) : 3; з) :5.

а) \(\frac{7}{9}\) : \(\frac{7}{18}\) = \(\frac{7}{9}\) ⋅ \(\frac{18}{7}\) = \(\frac{7 ⋅ 18}{9 ⋅ 7}\) = \(\frac{18}{9}\) = 2

б) \(\frac{1}{4}\) : \(\frac{1}{3}\) = \(\frac{1}{4}\) ⋅ \(\frac{3}{1}\) = \(\frac{3}{4}\)

в) \(\frac{3}{4}\) : \(\frac{7}{9}\) = \(\frac{3}{4}\) ⋅ \(\frac{9}{7}\) = \(\frac{3 ⋅ 9}{4 ⋅ 7}\) = \(\frac{27}{28}\)

г) \(\frac{3}{7}\) : \(\frac{1}{14}\) = \(\frac{3}{7}\) ⋅ \(\frac{14}{1}\) = \(\frac{3 ⋅ 14}{7 ⋅ 1}\) = \(\frac{3 ⋅ 2}{1 ⋅ 1}\) = 6

д) \(\frac{6}{11}\) : 6 = \(\frac{6}{11}\) : \(\frac{6}{1}\) = \(\frac{6}{11}\) ⋅ \(\frac{1}{6}\) = \(\frac{1}{11}\)

ж) \(\frac{5}{7}\) : \(\frac{1}{7}\) = \(\frac{5}{7}\) ⋅ \(\frac{7}{1}\) = 5

е) \(\frac{9}{13}\) : 3 = \(\frac{9}{13}\) ⋅ \(\frac{1}{3}\) = \(\frac{3}{13}\)

з) \(\frac{15}{22}\) : 5 = \(\frac{15}{22}\) ⋅ \(\frac{1}{5}\) = \(\frac{3}{22}\)