1. **Problem Statement:** Ronan is painting 5 doors, and he has painted $\frac{1}{3}$ of each door. We need to find a model that represents the total amount of painting completed. 2. **Understanding the problem:** Each door is divided into 3 equal parts, and Ronan has painted 1 part of each door. Since there are 5 doors, the total painted area is 5 times $\frac{1}{3}$. 3. **Mathematical model:** The total painted fraction is given by multiplying the number of doors by the fraction painted per door: $$\text{Total painted} = 5 \times \frac{1}{3} = \frac{5}{3}$$ 4. **Interpretation:** $\frac{5}{3}$ means Ronan has painted $1$ whole door and $\frac{2}{3}$ of another door. 5. **Matching with options:** - Option A shows $5 \times \frac{1}{3}$, which matches our calculation. - Option B shows $5 \times 1$, which means all doors fully painted, incorrect. - Option C shows $3 \times \frac{1}{5}$, which is not the situation. - Option D shows $5 \times 1$ again, incorrect. **Final answer:** Option A correctly represents the amount painted.