\[\left( 2\frac{5^{\backslash 3}}{6} + 2\frac{2^{\backslash 2}}{9} \right)\ :3\frac{1}{4} - \frac{2}{7}\ :1\frac{2}{7} =\]
\[= 4\frac{15 + 4}{18}\ :\frac{13}{4} - \frac{2 \cdot 7}{7 \cdot 9} =\]
\[= 4\frac{19}{18} \cdot \frac{4}{13} - \frac{2}{9} =\]
\[= \frac{91 \cdot 4}{18 \cdot 13} - \frac{2}{9} = \frac{14}{9} - \frac{2}{9} = \frac{12}{9} =\]
\[= 1\frac{3}{9} = 1\frac{1}{3}\]