Question: Identify the fractions labeled with the letters A and B on the scale below. Give your answers as proper or improper fractions.
A
0
1
B
Letter A represents the fraction
Letter B represents the fraction
Graph: a horizontal number line from 0 to 1 and beyond, with evenly spaced tick marks; A is at the first tick mark to the right of 0 (position_hint=top-left), and B is at the fourth tick mark to the right of 1 (position_hint=center).User: Identify the fractions labeled with the letters A and B on the scale below. Give your answers as proper or improper fractions.
1. **Problem statement:** Identify the fractions at $A$ and $B$ on the number line.
2. **Use the number line rule:**
- The interval from $0$ to $1$ is divided into equal parts.
- Since $A$ is at the first tick mark to the right of $0$, and there are $5$ equal parts from $0$ to $1$, each tick represents $\frac{1}{5}$.
3. **Find $A$:**
- The first tick after $0$ is $\frac{1}{5}$.
- So, $A = \frac{1}{5}$.
4. **Find $B$:**
- The tick marks continue in steps of $\frac{1}{5}$.
- After $1 = \frac{5}{5}$, the fourth tick mark to the right is:
$$\frac{5}{5} + \frac{4}{5} = \frac{9}{5}$$
- So, $B = \frac{9}{5}$.
5. **Final answers:**
- $A = \frac{1}{5}$
- $B = \frac{9}{5}$