№3. (26) Решите уравнение $$\frac{4}{9}x = 1 : 8\frac{7}{8}$$

$$\frac{4}{9}x = 1 : 8\frac{7}{8}$$ $$\frac{4}{9}x = 1 : \frac{8 \cdot 8 + 7}{8}$$ $$\frac{4}{9}x = 1 : \frac{64 + 7}{8}$$ $$\frac{4}{9}x = 1 : \frac{71}{8}$$ $$\frac{4}{9}x = \frac{8}{71}$$ $$x = \frac{8}{71} : \frac{4}{9}$$ $$x = \frac{8}{71} \cdot \frac{9}{4}$$ $$x = \frac{2}{71} \cdot \frac{9}{1}$$ $$x = \frac{18}{71}$$ Ответ: $$x = \frac{18}{71}$$