\[\left( 6\frac{3^{\backslash 3}}{8} - 3\frac{7^{\backslash 2}}{12} \right) \cdot \frac{12}{67} + 3\frac{1}{2} = 4.\]
\[1)\ 6\frac{9}{24} - 3\frac{14}{24} = 5\frac{33}{24} - 3\frac{14}{24} =\]
\[= 2\frac{19}{24} = \frac{67}{24};\]
\[2)\ \frac{67}{24} \cdot \frac{12}{67} = \frac{1}{2};\]
\[3)\ \frac{1}{2} + 3\frac{1}{2} = 3\frac{2}{2} = 4.\]