Given data:
[tex]$1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex]
Plot the points [tex]1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex] on the number line.
Let us plot the first point [tex]1\frac{4}{9}[/tex].
1 unit is completed. So count after 1 (indicated) in the number line.
point after 1 is [tex]1\frac{1}{9}[/tex]
point after [tex]1\frac{1}{9}[/tex] is [tex]1\frac{2}{9}[/tex]
point after [tex]1\frac{2}{9}[/tex] is [tex]1\frac{3}{9}[/tex]
point after [tex]1\frac{3}{9}[/tex] is [tex]1\frac{4}{9}[/tex].
So, move 4 points after 1 in the number line is [tex]1\frac{4}{9}[/tex].
Now plot the point [tex]2\frac{1}{3}[/tex].
To make the denominator 9, multiply and divide numerator and denominator by 3.
[tex]$2 \frac{1}{3}=2 \frac{3}{9}[/tex]
2 unit is completed. So count after 2 (indicated) in the number line.
point after 2 is [tex]2\frac{1}{9}[/tex]
point after [tex]2\frac{1}{9}[/tex] is [tex]2\frac{2}{9}[/tex]
point after [tex]2\frac{2}{9}[/tex] is [tex]2\frac{3}{9}=2\frac{1}{3}[/tex]
So, move 3 points after 2 in the number line is [tex]2\frac{1}{9}[/tex].
The number line is attached below.
