5. Выполните деление: а) 6/25 : 9/5; б) 8/27 : 8/9; в) 6 2/3 : 1 1/8; г) 36/47 : 18; д) 9 5/7 : 23/28; е) 42 : 6/7; ж) −6 2/3 : 8/9; з) −36/47 : (−9).

1. \(\frac{6}{25}:\frac{9}{5}=\frac{6}{25}\cdot\frac{5}{9}=\frac{2}{15}\).
2. \(\frac{8}{27}:\frac{8}{9}=\frac{8}{27}\cdot\frac{9}{8}=\frac{1}{3}\).
3. \(6\frac{2}{3}:1\frac{1}{8}=\frac{20}{3}:\frac{9}{8}=\frac{20}{3}\cdot\frac{8}{9}=\frac{160}{27}=5\frac{25}{27}\).
4. \(\frac{36}{47}:18=\frac{36}{47}\cdot\frac{1}{18}=\frac{2}{47}\).
5. \(9\frac{5}{7}:\frac{23}{28}=\frac{68}{7}\cdot\frac{28}{23}=\frac{272}{23}=11\frac{19}{23}\).
6. \(42:\frac{6}{7}=42\cdot\frac{7}{6}=49\).
7. \(-6\frac{2}{3}:\frac{8}{9}=-\frac{20}{3}\cdot\frac{9}{8}=-\frac{15}{2}=-7\frac{1}{2}\).
8. \(-\frac{36}{47}:(-9)=\frac{36}{47}\cdot\frac{1}{9}=\frac{4}{47}\).

Ответ: а) \(\frac{2}{15}\); б) \(\frac{1}{3}\); в) \(5\frac{25}{27}\); г) \(\frac{2}{47}\); д) \(11\frac{19}{23}\); е) 49; ж) \(-7\frac{1}{2}\); з) \(\frac{4}{47}\).