Вычислите: (5 3/4-4 8/9)*2+67 1/2:2 1/7.

\[\left( 5\frac{3}{4} - 4\frac{8}{9} \right) \cdot 2 + 67\frac{1}{2}\ :2\frac{1}{7} =\]

\[= \left( \frac{23^{\backslash 9}}{4} - \frac{44^{\backslash 4}}{9} \right) \cdot 2 + \frac{135}{2}\ :\frac{15}{7} =\]

\[= \frac{207 - 176}{36} \cdot 2 + \frac{135}{2} \cdot \frac{7}{15} =\]

\[= \frac{31}{18} + \frac{9 \cdot 7}{2} = \frac{31}{18} + \frac{63}{2} =\]

\[= 1\frac{13}{18} + 31\frac{1^{\backslash 9}}{2} = 32\frac{22}{18} =\]

\[= 32\frac{11}{9} = 33\frac{2}{9}.\]