解:
$\begin{aligned}&(-\frac{4}{5})×\frac{5}{13}-(-\frac{3}{5})\div(-2\frac{3}{5})-\frac{5}{13}×(-1\frac{3}{5})\\=&(-\frac{4}{5})×\frac{5}{13}-(-\frac{3}{5})\div(-\frac{13}{5})-\frac{5}{13}×(-\frac{8}{5})\\=&(-\frac{4}{5})×\frac{5}{13}-\frac{3}{5}×\frac{5}{13}+\frac{5}{13}×\frac{8}{5}\\=&\frac{5}{13}×(-\frac{4}{5}-\frac{3}{5}+\frac{8}{5})\\=&\frac{5}{13}×\frac{1}{5}\\=&\frac{1}{13}\end{aligned}$