let's firstly convert the mixed fractions to improper fractions, and then multiply.
[tex]\bf \stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}\cdot \cfrac{11}{2}\implies \cfrac{42}{2}\cdot \cfrac{11}{5}\implies 21\cdot \cfrac{11}{5}\implies \cfrac{231}{5}\implies 46\frac{1}{5}[/tex]
