1. Start with the given conversion factor: 1 mile = 5280 feet.
2. Calculate the distance in feet for \(\frac{1}{4}\) mile:
\frac{1}{4} \times 5280 = 1320 \text{ feet}
3. Use the conversion factor: 1 yard = 3 feet.
4. Convert 1320 feet to yards:
\frac{1320}{3} = 440 \text{ yards}
5. The final answer is 440 yards.