6. Выполните деление, рассуждая, как в предыдущем примере: a) 16 : 8/9 34 : 2/5 35 5/8 : 5 б) 120 : 6/7 14 7/13 : 7 26 8/11 : 2 в) 64 : 4/21 38 : 2/11 100 : 25/647 г) 49 : 15/7 84 : 42/271 75 : 25

Решение:

1. \( 16 : \frac{8}{9} = 16 \cdot \frac{9}{8} = 2 \cdot 9 = 18 \)
2. \( 34 : \frac{2}{5} = 34 \cdot \frac{5}{2} = 17 \cdot 5 = 85 \)
3. \( 35 \frac{5}{8} : 5 = \frac{285}{8} : 5 = \frac{285}{8} \cdot \frac{1}{5} = \frac{57}{8} = 7 \frac{1}{8} \)
4. \( 120 : \frac{6}{7} = 120 \cdot \frac{7}{6} = 20 \cdot 7 = 140 \)
5. \( 14 \frac{7}{13} : 7 = \frac{189}{13} : 7 = \frac{189}{13} \cdot \frac{1}{7} = \frac{27}{13} = 2 \frac{1}{13} \)
6. \( 26 \frac{8}{11} : 2 = \frac{294}{11} : 2 = \frac{294}{11} \cdot \frac{1}{2} = \frac{147}{11} = 13 \frac{4}{11} \)
7. \( 64 : \frac{4}{21} = 64 \cdot \frac{21}{4} = 16 \cdot 21 = 336 \)
8. \( 38 : \frac{2}{11} = 38 \cdot \frac{11}{2} = 19 \cdot 11 = 209 \)
9. \( 100 : \frac{25}{647} = 100 \cdot \frac{647}{25} = 4 \cdot 647 = 2588 \)
10. \( 49 : \frac{15}{7} = 49 \cdot \frac{7}{15} = \frac{343}{15} = 22 \frac{13}{15} \)
11. \( 84 : \frac{42}{271} = 84 \cdot \frac{271}{42} = 2 \cdot 271 = 542 \)
12. \( 75 : 25 = 3 \)