The given mixed numbers are:
[tex]1\frac{1}{2},2\frac{1}{4}[/tex]
The first thing we need to do is convert it into improper fractions, as follows:
[tex]\begin{gathered} 1\frac{1}{2}=\frac{1\times2}{2}+\frac{1}{2} \\ 1\frac{1}{2}=\frac{2}{2}+\frac{1}{2} \\ 1\frac{1}{2}=\frac{3}{2} \end{gathered}[/tex]
Now, continue with 2 1/4:
[tex]\begin{gathered} 2\frac{1}{4}=\frac{2\times4}{4}+\frac{1}{4} \\ 2\frac{1}{4}=\frac{8}{4}+\frac{1}{4} \\ 2\frac{1}{4}=\frac{9}{4} \end{gathered}[/tex]
In order to plot them on the number line, for the first fraction 3/2, we need to divide the unity into 2 equal parts, and then count 3 of these divisions, that would be 1 1/2 or 3/2, is the same:
Now for the 2 1/4 or 9/4 (they are the same), we need to divide the unity into 4 equal parts and then count 9 of these divisions, then:
