1. **State the problem:** We need to find which point on the number line best represents the fraction $\frac{1}{3}$. 2. **Recall the value of $\frac{1}{3}$:** The fraction $\frac{1}{3}$ is approximately equal to $0.3333$ (repeating). 3. **Analyze the points on the number line:** - Point A is near $0.15$ - Point B is near $0.20$ - Point C is near $0.31$ - Point D is near $0.38$ 4. **Compare each point to $\frac{1}{3}$:** - $|0.15 - 0.3333| = 0.1833$ - $|0.20 - 0.3333| = 0.1333$ - $|0.31 - 0.3333| = 0.0233$ - $|0.38 - 0.3333| = 0.0467$ 5. **Determine the closest point:** Point C at $0.31$ is the closest to $0.3333$. **Final answer:** Point C best represents $\frac{1}{3}$.