Respuesta :
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]
