let's firstly convert the mixed fractions to improper fractions, and then multiply.
[tex]\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}~\hfill \stackrel{mixed}{3\frac{1}{3}}\implies \cfrac{3\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{10}{3}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{5}{2}\cdot -\cfrac{10}{3}\implies \cfrac{-5\cdot -10}{2\cdot 3}\implies \cfrac{50}{6}\implies \cfrac{25}{3}\implies 8\frac{1}{3}[/tex]