Start by making the mixed numbers as fractions
[tex]\begin{gathered} 3\frac{1}{2}=\frac{3\cdot2+1}{2}=\frac{7}{2} \\ 2\frac{1}{2}=\frac{2\cdot2+1}{2}=\frac{5}{2} \end{gathered}[/tex]then, find the product between them
[tex]\frac{7}{2}\times\frac{5}{2}=\frac{35}{4}[/tex]write the fraction as a mixed number
[tex]\frac{35}{4}=8\frac{3}{4}[/tex]