Реши уравнение: 1 1/3:5 2/9=x:4,7.

Ответ:

\[1\frac{1}{3}\ :5\frac{2}{9} = x\ :4,7\]

\[\frac{4}{3}\ :\frac{47}{9} = x\ :\frac{47}{10}\]

\[\frac{4}{3} \cdot \frac{9}{47} = x \cdot \frac{10}{47}\]

\[x = \frac{2 \cdot 2}{3} \cdot \frac{3 \cdot 3}{47} \cdot \frac{47}{2 \cdot 5}\]

\[x = \frac{2 \cdot 3}{5}\]

\[x = \frac{6}{5}\]

\[x = 1,2.\ \]