\[5\frac{5}{6} - 2\frac{6}{7} = 4\frac{11^{\backslash 7}}{6} - 2\frac{6^{\backslash 6}}{7} =\]
\[= 4\frac{77}{42} - 2\frac{36}{42} = 2\frac{41}{42}\]