Answer:[tex]\frac{25}{8}[/tex]Step-by-step explanation:A fraction is a part of a whole .A proper fraction is a fraction whose numerator is less than denominator .For example [tex]\frac{2}{3}\,,\,\frac{3}{4}[/tex]An improper fraction is a fraction whose numerator is greater than denominator .For example [tex]\frac{5}{4}\,,\,\frac{8}{7}[/tex]A mixed fraction is made up of whole number and a proper fraction .Given : [tex]4\frac{1}{6}\,,1\frac{1}{3}[/tex]Solution :[tex]4\frac{1}{6}=\frac{4\times 6+1}{6}=\frac{25}{6}\\1\frac{1}{3}=\frac{3\times 1+1}{3}=\frac{4}{3}[/tex]We need to divide [tex]4\frac{1}{6}[/tex] by [tex]1\frac{1}{3}[/tex] .[tex]4\frac{1}{6}\div 1\frac{1}{3}=\frac{25}{6}\div\frac{4}{3} \\\Rightarrow 4\frac{1}{6}\div 1\frac{1}{3}= \frac{25}{6}\times \frac{3}{4}=\frac{25}{8}[/tex]