2. Решите уравнения: 1) 3/5x = 2 1/4; 2) 1 3/8x = 2 3/4.

1) Решим уравнение $$\frac{3}{5}x = 2 \frac{1}{4}$$.

$$2 \frac{1}{4} = \frac{2 \cdot 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4}$$.

$$\frac{3}{5}x = \frac{9}{4}$$.

$$x = \frac{9}{4} : \frac{3}{5} = \frac{9}{4} \cdot \frac{5}{3} = \frac{9 \cdot 5}{4 \cdot 3} = \frac{3 \cdot 3 \cdot 5}{4 \cdot 3} = \frac{3 \cdot 5}{4} = \frac{15}{4} = 3 \frac{3}{4}$$.

2) Решим уравнение $$1 \frac{3}{8}x = 2 \frac{3}{4}$$.

$$1 \frac{3}{8} = \frac{1 \cdot 8 + 3}{8} = \frac{8 + 3}{8} = \frac{11}{8}$$.

$$2 \frac{3}{4} = \frac{2 \cdot 4 + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}$$.

$$\frac{11}{8}x = \frac{11}{4}$$.

$$x = \frac{11}{4} : \frac{11}{8} = \frac{11}{4} \cdot \frac{8}{11} = \frac{11 \cdot 8}{4 \cdot 11} = \frac{8}{4} = 2$$.

Ответ: 1) $$3 \frac{3}{4}$$; 2) $$2$$.