\[\boxed{\mathbf{555\ (555).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \frac{1}{6} = 0,1(6)\]
\[0,1(6) < 0,2 \Longrightarrow \frac{1}{6} < 0,2.\]
\[2)\ \frac{4}{7} = 0,(571428);\ \ \ \ \ \ \ \]
\[\ \frac{5}{8} = 0,625\]
\[0,(571428) < 0,625 \Longrightarrow \frac{4}{7} < \frac{5}{8}.\]
\[3)\ \frac{22}{7} = 3,(142857)\]
\[3,(142857) > 3,14 \Longrightarrow\]
\[\Longrightarrow \frac{22}{7} > 3,14.\]
\[4)\ \frac{5}{13} = 0,(384615);\ \ \ \ \ \]
\[\ \frac{387}{1000} = 0,387\]
\[0,(384615) < 0,387 \Longrightarrow\]
\[\Longrightarrow \frac{5}{13} < \frac{387}{1000}.\]