4. Выполните действие: a) 18:10 7/20 4 1/3 : 2/3 5 17/24 : 2/3 6 3/8 : 1/3 5 9/11 : 13 5/7

Решение:

1. \( 18 : 10 \frac{7}{20} = 18 : \frac{207}{20} = 18 \cdot \frac{20}{207} = \frac{2}{1} \cdot \frac{20}{23} = \frac{40}{23} = 1 \frac{17}{23} \)
2. \( 4 \frac{1}{3} : \frac{2}{3} = \frac{13}{3} : \frac{2}{3} = \frac{13}{3} \cdot \frac{3}{2} = \frac{13}{2} = 6 \frac{1}{2} \)
3. \( 5 \frac{17}{24} : \frac{2}{3} = \frac{137}{24} : \frac{2}{3} = \frac{137}{24} \cdot \frac{3}{2} = \frac{137}{16} = 8 \frac{9}{16} \)
4. \( 6 \frac{3}{8} : \frac{1}{3} = \frac{51}{8} : \frac{1}{3} = \frac{51}{8} \cdot 3 = \frac{153}{8} = 19 \frac{1}{8} \)
5. \( 5 \frac{9}{11} : 13 \frac{5}{7} = \frac{64}{11} : \frac{96}{7} = \frac{64}{11} \cdot \frac{7}{96} = \frac{2}{11} \cdot \frac{7}{3} = \frac{14}{33} \)