1. **State the problem:** Ella slept through the last 14% of a road trip. She fell asleep after traveling 602 miles. We need to find the total length of the trip. 2. **Identify the formula:** Let the total length of the trip be $T$ miles. Since Ella fell asleep after traveling 602 miles, this distance represents the part of the trip before the last 14%, which is 100% - 14% = 86% of the trip. So, we have: $$0.86 \times T = 602$$ 3. **Solve for $T$:** Divide both sides by 0.86: $$T = \frac{602}{0.86}$$ Show cancellation step: $$T = \frac{602}{\cancel{0.86}} \times \frac{1}{\cancel{1}}$$ 4. **Calculate the value:** $$T = 700$$ 5. **Interpretation:** The total length of the trip was 700 miles. **Final answer:** $$\boxed{700 \text{ miles}}$$