2. Выполнить деление: a)7/9 : 2/3; б) 6/7 : 12/35; в)3 3/5 : 2 1/10; г) 35/38 : 7.

Ответ: а) 7/6; б) 5/2; в) 12/7; г) 5/38

1. а) \[\frac{7}{9} : \frac{2}{3} = \frac{7}{9} \cdot \frac{3}{2} = \frac{7 \cdot 3}{9 \cdot 2} = \frac{7}{3 \cdot 2} = \frac{7}{6}\]
2. б) \[\frac{6}{7} : \frac{12}{35} = \frac{6}{7} \cdot \frac{35}{12} = \frac{6 \cdot 35}{7 \cdot 12} = \frac{1 \cdot 5}{1 \cdot 2} = \frac{5}{2}\]
3. в) \(3 \frac{3}{5} : 2 \frac{1}{10}\) = \(\frac{18}{5} : \frac{21}{10}\) = \(\frac{18}{5} \cdot \frac{10}{21}\) = \(\frac{18 \cdot 10}{5 \cdot 21}\) = \(\frac{6 \cdot 2}{1 \cdot 7}\) = \(\frac{12}{7}\)
4. г) \(\frac{35}{38} : 7\) = \(\frac{35}{38} : \frac{7}{1}\) = \(\frac{35}{38} \cdot \frac{1}{7}\) = \(\frac{35 \cdot 1}{38 \cdot 7}\) = \(\frac{5 \cdot 1}{38 \cdot 1}\) = \(\frac{5}{38}\)

Ответ: а) 7/6; б) 5/2; в) 12/7; г) 5/38