1. Выполните деление: a) $$\frac{5}{8} : \frac{3}{4}$$ б) $$\frac{16}{17} : \frac{32}{34}$$ в) $$3 \frac{1}{9} : 2 \frac{11}{12}$$ г) $$6 : \frac{8}{12}$$

Решение:

1. a) $$\frac{5}{8} : \frac{3}{4} = \frac{5}{8} \cdot \frac{4}{3} = \frac{5 \cdot 4}{8 \cdot 3} = \frac{20}{24} = \frac{5}{6}$$


2. б) $$\frac{16}{17} : \frac{32}{34} = \frac{16}{17} \cdot \frac{34}{32} = \frac{16 \cdot 34}{17 \cdot 32} = \frac{16}{32} \cdot \frac{34}{17} = \frac{1}{2} \cdot 2 = 1$$


3. в) $$3 \frac{1}{9} : 2 \frac{11}{12} = \frac{28}{9} : \frac{35}{12} = \frac{28}{9} \cdot \frac{12}{35} = \frac{28 \cdot 12}{9 \cdot 35} = \frac{(4 \cdot 7) \cdot (3 \cdot 4)}{(3 \cdot 3) \cdot (5 \cdot 7)} = \frac{4 \cdot 4}{3 \cdot 5} = \frac{16}{15} = 1 \frac{1}{15}$$


4. г) $$6 : \frac{8}{12} = 6 \cdot \frac{12}{8} = \frac{6 \cdot 12}{8} = \frac{72}{8} = 9$$

Ответ: a) $$\frac{5}{6}$$; б) 1; в) $$1 \frac{1}{15}$$; г) 9.