Решите уравнение: 1 13/15*(4 1/6-x):4 8/9=1 1/2.

\[1\frac{13}{15} \cdot \left( 4\frac{1}{6} - x \right)\ :4\frac{8}{9} = 1\frac{1}{2}\]

\[\frac{28}{15} \cdot \left( \frac{25}{6} - x \right)\ :\frac{44}{9} = \frac{3}{2}\]

\[\frac{28}{15} \cdot \frac{9}{44} \cdot \left( \frac{25}{6} - x \right) = \frac{3}{2}\]

\[\frac{25}{6} - x = \frac{3}{2} \cdot \frac{15}{28} \cdot \frac{44}{9}\]

\[\frac{25}{6} - x = \frac{1 \cdot 5 \cdot 11}{2 \cdot 7}\]

\[\frac{25}{6} - x = \frac{55}{14}\]

\[x = \frac{25^{\backslash 7}}{6} - \frac{55^{\backslash 3}}{14}\]

\[x = \frac{175 - 165}{42} = \frac{10}{42}\]

\[x = \frac{5}{21}.\]