5. Решите уравнение $$2\frac{2}{9}: y=3\frac{19}{27}:3\frac{1}{3}$$

Решим уравнение:

$$2\frac{2}{9}: y=3\frac{19}{27}:3\frac{1}{3}$$

$$2\frac{2}{9} = \frac{2 \cdot 9 + 2}{9} = \frac{20}{9}$$

$$3\frac{19}{27} = \frac{3 \cdot 27 + 19}{27} = \frac{81 + 19}{27} = \frac{100}{27}$$

$$3\frac{1}{3} = \frac{3 \cdot 3 + 1}{3} = \frac{10}{3}$$

$$\frac{20}{9} : y = \frac{100}{27} : \frac{10}{3}$$

$$\frac{20}{9} : y = \frac{100}{27} \cdot \frac{3}{10}$$

$$\frac{20}{9} : y = \frac{10}{9}$$

$$y = \frac{20}{9} : \frac{10}{9}$$

$$y = \frac{20}{9} \cdot \frac{9}{10}$$

$$y = 2$$

Ответ: 2