1. **State the problem:** Calculate the length on a scale drawing in centimeters for an actual length of 60 meters with a scale of 1:15. 2. **Understand the scale:** A scale of 1:15 means 1 unit on the drawing represents 15 units in real life. 3. **Convert actual length to the same unit as the drawing:** Since the drawing length is asked in centimeters, convert 60 meters to centimeters: $$60\text{ m} = 60 \times 100 = 6000\text{ cm}$$ 4. **Use the scale formula:** $$\text{Drawing length} = \frac{\text{Actual length}}{\text{Scale factor}}$$ 5. **Calculate the drawing length:** $$\text{Drawing length} = \frac{6000}{15}$$ 6. **Show intermediate cancellation:** $$\frac{\cancel{6000}}{\cancel{15}} = 400$$ 7. **Final answer:** The length on the scale drawing is **400 cm**.