\[\left| \frac{1}{6} - 0,167 \right| = \left| \frac{1}{6} - \frac{167}{1000} \right| =\]
\[= \left| \frac{1000 - 1002}{6000} \right| = \left| \frac{- 2}{6000} \right| =\]
\[= \frac{1}{3000}\]