[tex]\begin{gathered} 4\frac{1}{2}dividedby\text{ 1}\frac{1}{4} \\ \end{gathered}[/tex]
[tex]\frac{4\frac{1}{2}}{1\frac{1}{4}}[/tex]
[tex]\begin{gathered} 4\frac{1}{2}=\text{ }\frac{9}{2} \\ \\ 1\frac{1}{4}=\text{ }\frac{5}{4} \\ \end{gathered}[/tex]
[tex]\frac{4\frac{1}{2}}{1\frac{1}{4}}\text{ =}\frac{\frac{9}{2}}{\frac{5}{4}}[/tex][tex]\begin{gathered} \frac{9}{2}\text{ X}\frac{4}{5}\text{ =}\frac{36}{10} \\ \frac{36}{10}\text{ =3}\frac{6}{10} \end{gathered}[/tex]
[tex]\text{3}\frac{6}{10}\text{ = 3}\frac{3}{5}[/tex]
We can now compare the result of the left-hand side to that of the
right-hand side of the equation in the question
[tex]3\frac{3}{5}\text{ =a}\frac{b}{c}[/tex]
It can be seen that a = 3
b= 3
c= 5
