As follows:
\(-2\frac{1}{2} \rightarrow -(\frac{4}{2}+\frac{1}{2}) \rightarrow-\frac{5}{2}\\\\ -1\frac{3}{5} \rightarrow -(\frac{5}{5}+\frac{3}{5})\rightarrow-\frac{8}{5}\)
The product of two negative numbers is positive so:
\(-\frac{5}{2}\times-\frac{8}{5}\rightarrow\frac{5}{2}\times\frac{8}{5}\rightarrow \frac{8}{2}\rightarrow4\)
So: \(-2\frac{1}{2}\times -1\frac{3}{5}=4\)