\[37\ :2\frac{3}{17} - 17,8 + 1\frac{2}{7} =\]
\[= \frac{37}{1}\ :\frac{37}{17} - \frac{178}{10} + \frac{9}{7} = \frac{37}{1} \cdot \frac{17}{37} - \frac{178}{10} + \frac{9}{7} =\]
\[= \frac{17^{\backslash 70}}{1} - \frac{178^{\backslash 7}}{10} + \frac{9^{\backslash 10}}{7} =\]
\[= \frac{1190 - 1246 + 90}{70} = \frac{34}{70} = \frac{17}{35}\]