Question

fractions
plotting mixed numbers on a number line
plot ( 2 \frac{5}{6} ) and ( 1 \frac{1}{3} ).

Explanation:

Step1: Analyze the number line

The number line has marks between 0 - 1, 1 - 2, and 2 - 3. Let's assume each whole number is divided into 6 equal parts (since denominators are 6 and 3, and 3 can be converted to 6). So each small tick is $\frac{1}{6}$.

Step2: Plot $1\frac{1}{3}$

First, convert $1\frac{1}{3}$ to sixths: $1\frac{1}{3}=1\frac{2}{6}$. So from 1, we move 2 ticks (each $\frac{1}{6}$) to the right.

Step3: Plot $2\frac{5}{6}$

$2\frac{5}{6}$ is 2 plus $\frac{5}{6}$. So from 2, we move 5 ticks (each $\frac{1}{6}$) to the right.

Answer:

To plot $1\frac{1}{3}$ (which is $1\frac{2}{6}$) on the number line: Start at 1, then move 2 small ticks (each representing $\frac{1}{6}$) to the right.
To plot $2\frac{5}{6}$ on the number line: Start at 2, then move 5 small ticks (each representing $\frac{1}{6}$) to the right.