1 e) 9:4=51:x 6 Решение: 4 16 9

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

$$9\frac{1}{6} = \frac{55}{6}$$ $$4\frac{4}{5} = \frac{24}{5}$$ $$51\frac{9}{16} = \frac{825}{16}$$ $$\frac{55}{6} : \frac{24}{5} = \frac{825}{16} : x$$ $$\frac{55}{6} \cdot \frac{5}{24} = \frac{275}{144}$$ $$\frac{275}{144} = \frac{825}{16} : x$$ $$x = \frac{825}{16} : \frac{275}{144} = \frac{825}{16} \cdot \frac{144}{275} = \frac{3}{1} \cdot \frac{9}{1} = 27$$ Ответ: $$x = 27$$