Given:
[tex]3\frac{1}{6}\times\frac{3}{7}[/tex]Simplify the fraction,
[tex]\begin{gathered} 3\frac{1}{6}\times\frac{3}{7}=(3+\frac{1}{6})\times\frac{3}{7} \\ =\frac{(3\times6)+1}{6}\times\frac{3}{7} \\ =\frac{19}{6}\times\frac{3}{7} \\ =\frac{19}{2\times7} \\ =\frac{19}{14} \end{gathered}[/tex]Answer:
[tex]\begin{gathered} 3\frac{1}{6}\times\frac{3}{7}=\frac{19}{14} \\ In\text{ mixed fraction,} \\ 3\frac{1}{6}\times\frac{3}{7}=1\frac{5}{14} \end{gathered}[/tex]