\[\left| - 4\frac{2}{7} \right| - \left| - 1\frac{5}{14} \right| = 4\frac{2^{\backslash 2}}{7} - 1\frac{5}{14} =\]
\[= 4\frac{4}{14} - 1\frac{5}{14} = 3\frac{18}{14} - 1\frac{5}{14} =\]
\[= 2\frac{18 - 5}{14} = 2\frac{13}{14}\]