\[5\frac{1^{\backslash 2}}{6} - 3\frac{3^{\backslash 3}}{4} = 5\frac{2}{12} - 3\frac{9}{12} =\]
\[= 4\frac{14}{12} - 3\frac{9}{12} = 1\frac{14 - 9}{12} = 1\frac{5}{12}\]