Задание № 9. Выполните деление: 1) 1/2 : 1/3; 2) 1/3 : 1/9; 3) 1/4 : 4/5; 4) 8/9 : 5/21; 5) 16/25 : 24/35; 6) 1/6 : 1/2; 7) 15/16 : 1/24; 8) 52/81 : 26/27; 9) 32/75 : 8/25.

1. \(\frac12:\frac13=\frac12\cdot3=\frac32\).
2. \(\frac13:\frac19=\frac13\cdot9=3\).
3. \(\frac14:\frac45=\frac14\cdot\frac54=\frac5{16}\).
4. \(\frac89:\frac5{21}=\frac89\cdot\frac{21}{5}=\frac{56}{15}=3\frac{11}{15}\).
5. \(\frac{16}{25}:\frac{24}{35}=\frac{16}{25}\cdot\frac{35}{24}=\frac{14}{15}\).
6. \(\frac16:\frac12=\frac16\cdot2=\frac13\).
7. \(\frac{15}{16}:\frac1{24}=\frac{15}{16}\cdot24=\frac{45}{2}=22\frac12\).
8. \(\frac{52}{81}:\frac{26}{27}=\frac{52}{81}\cdot\frac{27}{26}=\frac23\).
9. \(\frac{32}{75}:\frac8{25}=\frac{32}{75}\cdot\frac{25}{8}=\frac43\).

Ответ: 1) 3/2; 2) 3; 3) 5/16; 4) 3 11/15; 5) 14/15; 6) 1/3; 7) 22 1/2; 8) 2/3; 9) 4/3.