remember
[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex]
convert 8 and 1/2 to improper
8 and 1/2=8+1/2=16/2+1/2=17/2
so 8 and 1/2 divided by 3/4
[tex[\frac{\frac{17}{2}}{\frac{3}{4}}=\frac{(17)(4)}{(2)(3)}[/tex]
[tex]\frac{68}{6}=\frac{34}{3}=\frac{33}{3}+\frac{1}{3}=11+\frac{1}{3}[/tex]
that is 34/3 or 11 and 1/3 or [tex]11.\overline{3}[/tex]