let's firstly, convert the mixed fractions to improper, and then multiply.
[tex]\bf \stackrel{mixed}{3\frac{2}{5}}\implies \cfrac{3\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{17}{5}}~\hfill \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{17}{5}\cdot \cfrac{7}{3}\implies \cfrac{17\cdot 7}{5\cdot 3}\implies \cfrac{119}{15}\implies 7\frac{14}{15}[/tex]
