2.469 Решите уравнение: б) α:10=101

б) $$\alpha : 13\frac{1}{4} = 1\frac{3}{4}$$

$$\alpha : \frac{53}{4} = \frac{7}{4}$$

$$\alpha = \frac{7}{4} \cdot \frac{53}{4}$$

$$\alpha = \frac{7 \cdot 53}{4 \cdot 4}$$

$$\alpha = \frac{371}{16}$$

$$\alpha = 23\frac{3}{16}$$

Ответ: $$\alpha = 23\frac{3}{16}$$