Answer
$6\frac{1}{10}.$
Work Step by Step
We simplify by removing the parentheses and add the terms as follows:
$$
2\frac{1}{5}-\left( -1\frac{3}{10} \right)+2\frac{3}{5}=\frac{11}{5}+\frac{13}{10}+\frac{13}{5}\\
=\frac{22}{10}+\frac{13}{10}+\frac{26}{10}=\frac{22+13+26}{10}\\
=\frac{61}{10}=6\frac{1}{10}.
$$
