\[\frac{11}{17} + \frac{1}{6} + \frac{6}{17} = \frac{11 + 6}{17} + \frac{1}{6} =\]
\[= \frac{17}{17} + \frac{1}{6} = 1 + \frac{1}{6} = 1\frac{1}{6}.\]