3 Найдите частное: a) : ; в) :; д) :; ж) :; б) :; г) :; е) :; з) :

Ответ: а) \(\frac{4}{55}\), б) \(\frac{1}{7}\), в) \(\frac{2}{63}\), г) \(\frac{5}{14}\), д) \(\frac{4}{7}\) \(\cdot\) \(\frac{49}{16}\) = \(\frac{7}{4}\), е) \(\frac{5}{18}\), ж) \(\frac{12}{25}\) \(\cdot\) 8 = \(\frac{96}{25}\), з) \(\frac{9}{14}\) \(\cdot\) \(\frac{1}{35}\) = \(\frac{9}{490}\)

• а) \(\frac{4}{5}\) : \(\frac{9}{11}\) = \(\frac{4}{5}\) \(\cdot\) \(\frac{11}{9}\) = \(\frac{4 \cdot 11}{5 \cdot 9}\) = \(\frac{44}{45}\)
• б) \(\frac{1}{7}\) : 5 = \(\frac{1}{7}\) \(\cdot\) \(\frac{1}{5}\) = \(\frac{1}{35}\)
• в) \(\frac{2}{7}\) : \(\frac{9}{2}\) = \(\frac{2}{7}\) \(\cdot\) \(\frac{2}{9}\) = \(\frac{2 \cdot 2}{7 \cdot 9}\) = \(\frac{4}{63}\)
• г) \(\frac{5}{8}\) : \(\frac{12}{7}\) = \(\frac{5}{8}\) \(\cdot\) \(\frac{7}{12}\) = \(\frac{5 \cdot 7}{8 \cdot 12}\) = \(\frac{35}{96}\)
• д) \(\frac{4}{7}\) : \(\frac{49}{16}\) = \(\frac{4}{7}\) \(\cdot\) \(\frac{16}{49}\) = \(\frac{4 \cdot 16}{7 \cdot 49}\) = \(\frac{64}{343}\)
• е) \(\frac{5}{9}\) : \(\frac{1}{2}\) = \(\frac{5}{9}\) \(\cdot\) \(\frac{2}{1}\) = \(\frac{5 \cdot 2}{9 \cdot 1}\) = \(\frac{10}{9}\)
• ж) \(\frac{12}{25}\) : \(\frac{1}{8}\) = \(\frac{12}{25}\) \(\cdot\) \(\frac{8}{1}\) = \(\frac{12 \cdot 8}{25 \cdot 1}\) = \(\frac{96}{25}\)
• з) \(\frac{9}{14}\) : 35 = \(\frac{9}{14}\) \(\cdot\) \(\frac{1}{35}\) = \(\frac{9}{490}\)

Ответ: а) \(\frac{4}{55}\), б) \(\frac{1}{7}\), в) \(\frac{2}{63}\), г) \(\frac{5}{14}\), д) \(\frac{4}{7}\) \(\cdot\) \(\frac{49}{16}\) = \(\frac{7}{4}\), е) \(\frac{5}{18}\), ж) \(\frac{12}{25}\) \(\cdot\) 8 = \(\frac{96}{25}\), з) \(\frac{9}{14}\) \(\cdot\) \(\frac{1}{35}\) = \(\frac{9}{490}\)