5. Выполните деление: a) 3/7 : 5/8 б) 2 2/3 : 2/7 в) 8 1/3 : 2/3 г) 6/11 : 3 д) 3 1/9 : 2 11/12 е) 6 8/15 : 6 ж) 4 5/7 : 4 11/14 6. Решите уравнения: a) 4/15 : x = 2/5 б) 2/15 * y + 3/4 = 6

5. Выполните деление:

1. \( \frac{3}{7} : \frac{5}{8} = \frac{3}{7} \cdot \frac{8}{5} = \frac{24}{35} \)
2. \( 2 \frac{2}{3} : \frac{2}{7} = \frac{8}{3} : \frac{2}{7} = \frac{8}{3} \cdot \frac{7}{2} = \frac{56}{6} = \frac{28}{3} = 9 \frac{1}{3} \)
3. \( 8 \frac{1}{3} : \frac{2}{3} = \frac{25}{3} : \frac{2}{3} = \frac{25}{3} \cdot \frac{3}{2} = \frac{25}{2} = 12 \frac{1}{2} \)
4. \( \frac{6}{11} : 3 = \frac{6}{11} \cdot \frac{1}{3} = \frac{6}{33} = \frac{2}{11} \)
5. \( 3 \frac{1}{9} : 2 \frac{11}{12} = \frac{28}{9} : \frac{35}{12} = \frac{28}{9} \cdot \frac{12}{35} = \frac{4 \cdot 7}{3 \cdot 3} \cdot \frac{4 \cdot 3}{5 \cdot 7} = \frac{4 \cdot 4}{3 \cdot 5} = \frac{16}{15} = 1 \frac{1}{15} \)
6. \( 6 \frac{8}{15} : 6 = \frac{98}{15} : 6 = \frac{98}{15} \cdot \frac{1}{6} = \frac{98}{90} = \frac{49}{45} = 1 \frac{4}{45} \)
7. \( 4 \frac{5}{7} : 4 \frac{11}{14} = \frac{33}{7} : \frac{67}{14} = \frac{33}{7} \cdot \frac{14}{67} = \frac{33 \cdot 2}{67} = \frac{66}{67} \)

6. Решите уравнения:

1. \( \frac{4}{15} : x = \frac{2}{5} \)
   \( x = \frac{4}{15} : \frac{2}{5} \)
   \( x = \frac{4}{15} \cdot \frac{5}{2} \)
   \( x = \frac{2}{3} \)
2. \( \frac{2}{15} y + \frac{3}{4} = 6 \)
   \( \frac{2}{15} y = 6 - \frac{3}{4} \)
   \( \frac{2}{15} y = \frac{24 - 3}{4} \)
   \( \frac{2}{15} y = \frac{21}{4} \)
   \( y = \frac{21}{4} : \frac{2}{15} \)
   \( y = \frac{21}{4} \cdot \frac{15}{2} \)
   \( y = \frac{315}{8} = 39 \frac{3}{8} \)

Ответ: 5. а) 24/35; б) 9 1/3; в) 12 1/2; г) 2/11; д) 1 1/15; е) 1 4/45; ж) 66/67. 6. а) 2/3; б) 39 3/8.