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 : 1 23/28; е) 42 : 6/7; ж) −6 2/3 : 8/9; з) −36/47 : (−9).

1. \(\frac6{25}:\frac95=\frac6{25}\cdot\frac59=\frac2{15}\).
2. \(\frac8{27}:\frac89=\frac8{27}\cdot\frac98=\frac13\).
3. \(6\frac23:1\frac18=\frac{20}{3}:\frac98=\frac{160}{27}=5\frac{25}{27}\).
4. \(\frac{36}{47}:18=\frac{36}{47}\cdot\frac1{18}=\frac2{47}\).
5. \(9\frac57:1\frac{23}{28}=\frac{68}{7}:\frac{51}{28}=\frac{272}{51}=5\frac{17}{51}\).
6. \(42:\frac67=42\cdot\frac76=49\).
7. \(-6\frac23:\frac89=-\frac{20}{3}\cdot\frac98=-\frac{15}{2}=-7\frac12\).
8. \(-\frac{36}{47}:(-9)=\frac4{47}\).

Ответ: а) \(\frac{2}{15}\); б) \(\frac13\); в) \(5\frac{25}{27}\); г) \(\frac2{47}\); д) \(5\frac{17}{51}\); е) 49; ж) \(-7\frac12\); з) \(\frac4{47}\).