Вычислите: 7/12*6/17+1/8:17/6.

\[\frac{7}{12} \cdot \frac{6}{17} + \frac{1}{8}\ :\frac{17}{6} =\]

\[= \frac{7}{12} \cdot \frac{6}{17} + \frac{1}{8} \cdot \frac{6}{17} =\]

\[= \frac{6}{17} \cdot \left( \frac{7^{\backslash 2}}{12} + \frac{1^{\backslash 3}}{8} \right) =\]

\[= \frac{6}{17} \cdot \left( \frac{14}{24} + \frac{3}{24} \right) = \frac{6}{17} \cdot \frac{17}{24} = \frac{1}{4}.\]