Реши уравнение 2 2/9:y=3 19/27:3 1/3.

Ответ:

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

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

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

\[\frac{20}{9}\ :y = \frac{10 \cdot 10 \cdot 3}{9 \cdot 3 \cdot 10}\]

\[\frac{20}{9}\ :y = \frac{10}{9}\]

\[y = \frac{20}{9}\ :\frac{10}{9} = \frac{20}{9} \cdot \frac{9}{10}\]

\[y = \frac{2 \cdot 10 \cdot 9}{9 \cdot 10} = 2\]

\[y = 2.\]

\[Ответ:y = 2.\]