1. **State the problem:** A malt shop uses one-third of a box of waffle cones every day. How many days will 9 boxes last? 2. **Formula used:** To find how many days the boxes last, divide the total boxes by the amount used per day: $$\text{Days} = \frac{\text{Total boxes}}{\text{Boxes used per day}}$$ 3. **Apply the values:** $$\text{Days} = \frac{9}{\frac{1}{3}}$$ 4. **Divide by a fraction:** Dividing by a fraction is the same as multiplying by its reciprocal: $$\frac{9}{\frac{1}{3}} = 9 \times 3$$ 5. **Calculate:** $$9 \times 3 = 27$$ 6. **Answer:** The 9 boxes will last 27 days if one-third of a box is used each day.