1. **State the problem:** Simplify the expression $-(-2 \frac{1}{5}) - \left(-\frac{13}{5}\right) - 3 \frac{3}{5}$. 2. **Convert mixed numbers to improper fractions:** $-2 \frac{1}{5} = -\frac{11}{5}$ and $3 \frac{3}{5} = \frac{18}{5}$. 3. **Rewrite the expression with improper fractions:** $-\left(-\frac{11}{5}\right) - \left(-\frac{13}{5}\right) - \frac{18}{5}$. 4. **Simplify the double negatives:** $\frac{11}{5} + \frac{13}{5} - \frac{18}{5}$. 5. **Combine the fractions since they have the same denominator:** $\frac{11 + 13 - 18}{5} = \frac{6}{5}$. 6. **Convert the improper fraction back to a mixed number:** $\frac{6}{5} = 1 \frac{1}{5}$. **Final answer:** $1 \frac{1}{5}$