\[4\frac{2}{7} + \left( - 1\frac{4}{5} \right) = 4\frac{2}{7} - 1\frac{4}{5} =\]
\[= 4\frac{10}{35} - 1\frac{28}{35} = 3\frac{45}{35} - 1\frac{28}{35} =\]
\[= 2\frac{17}{35}\]