let's firstly convert the mixed fractions to improper fractions and then multiply across.
[tex]\bf \stackrel{mixed}{1\frac{8}{10}}\implies \cfrac{1\cdot 10+8}{10}\implies \stackrel{improper}{\cfrac{18}{10}\implies \cfrac{9}{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{9}{5}\cdot \cfrac{11}{2}\implies \cfrac{9\cdot 11}{5\cdot 2}\implies \cfrac{99}{10}\implies 9\frac{9}{10}[/tex]
