let's firstly convert the mixed fraction to improper fraction and let's convert the decimal amount to a fraction, and how much she spent is just their product.
[tex]\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill 1.\underline{75}\implies \cfrac{175}{1\underline{00}}\implies \cfrac{7}{4} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{11}{3}\cdot \cfrac{7}{4}\implies \cfrac{77}{12}\implies 6.41\overline{6}\qquad \impliedby \textit{about 6 bucks and 42 cents}[/tex]
