Question

plot $2\frac{1}{3}$ and $1\frac{4}{9}$.

Explanation:

Step1: Analyze the number line

The number line has marks from 0 to 3, with each integer divided into equal parts. Let's assume each integer is divided into 9 parts (to handle denominators 3 and 9, LCM of 3 and 9 is 9). So each small tick is $\frac{1}{9}$.

Step2: Plot $1\frac{4}{9}$

First, $1\frac{4}{9}$ is 1 + $\frac{4}{9}$. So start at 1, then move 4 ticks (since each tick is $\frac{1}{9}$) to the right.

Step3: Plot $2\frac{1}{3}$

Convert $2\frac{1}{3}$ to ninths: $2\frac{1}{3}=2+\frac{3}{9}$. So start at 2, then move 3 ticks (each $\frac{1}{9}$) to the right.

Answer:

To plot $1\frac{4}{9}$: From 1, move 4 small ticks (each $\frac{1}{9}$) to the right.
To plot $2\frac{1}{3}$ (which is $2\frac{3}{9}$): From 2, move 3 small ticks (each $\frac{1}{9}$) to the right.