3.120 Решите уравнение: 1) 2\frac{7}{12} \div 6\frac{1}{5} = \frac{y}{2,2}; 2) 2\frac{3}{4} \div 4\frac{1}{8} = \frac{1,6}{t}.

1) Решим уравнение:

$$2\frac{7}{12} \div 6\frac{1}{5} = \frac{y}{2,2}$$

$$\frac{31}{12} \div \frac{31}{5} = \frac{y}{2,2}$$

$$\frac{31}{12} \cdot \frac{5}{31} = \frac{y}{2,2}$$

$$\frac{5}{12} = \frac{y}{2,2}$$

$$y = \frac{5}{12} \cdot 2,2$$

$$y = \frac{5}{12} \cdot \frac{22}{10}$$

$$y = \frac{1}{6} \cdot \frac{11}{2}$$

$$y = \frac{11}{12}$$

2) Решим уравнение:

$$2\frac{3}{4} \div 4\frac{1}{8} = \frac{1,6}{t}$$

$$\frac{11}{4} \div \frac{33}{8} = \frac{1,6}{t}$$

$$\frac{11}{4} \cdot \frac{8}{33} = \frac{1,6}{t}$$

$$\frac{1}{1} \cdot \frac{2}{3} = \frac{1,6}{t}$$

$$\frac{2}{3} = \frac{1,6}{t}$$

$$t = 1,6 : \frac{2}{3}$$

$$t = 1,6 \cdot \frac{3}{2}$$

$$t = \frac{16}{10} \cdot \frac{3}{2}$$

$$t = \frac{8}{5} \cdot \frac{3}{2}$$

$$t = \frac{4}{5} \cdot \frac{3}{1}$$

$$t = \frac{12}{5}$$

$$t = 2,4$$

Ответ: 1) \(y = \frac{11}{12}\); 2) $$t = 2,4$$