4 9 e) 9:4=51-:x 65 16 Решение:

е) $$9\frac{1}{6} : 4\frac{4}{5} = 51\frac{9}{16} : x$$

Решение:

$$\frac{55}{6} : \frac{24}{5} = \frac{825}{16} : x$$

$$\frac{\frac{55}{6}}{\frac{24}{5}} = \frac{\frac{825}{16}}{x}$$

$$\frac{55}{6}x = \frac{825}{16} \cdot \frac{24}{5}$$

$$\frac{55}{6}x = \frac{825 \cdot 24}{16 \cdot 5}$$

$$\frac{55}{6}x = \frac{19800}{80}$$

$$\frac{55}{6}x = 247,5$$

$$x = \frac{247,5}{\frac{55}{6}}$$

$$x = 247,5 \cdot \frac{6}{55}$$

$$x = \frac{247,5 \cdot 6}{55}$$

$$x = \frac{1485}{55}$$

$$x = 27$$

Ответ: $$x = 27$$