\[4\frac{1}{3} + \left( - 2\frac{3}{4} + \left( - 3\frac{2}{5} \right) \right) =\]
\[= 4\frac{1}{3} + \left( - 2\frac{15}{20} - 3\frac{8}{20} \right) =\]
\[= 4\frac{1}{3} - 5\frac{23}{20} =\]
\[= 4\frac{20}{60} - 5\frac{69}{60} =\]
\[= - \left( 5\frac{69}{60} - 4\frac{20}{60} \right) = - 1\frac{49}{60}\]