1. **State the problem:** Convert the angle $\frac{7\pi}{4}$ radians to degrees. 2. **Formula:** To convert radians to degrees, use the formula: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. **Apply the formula:** Substitute $\frac{7\pi}{4}$ for radians: $$\frac{7\pi}{4} \times \frac{180}{\pi}$$ 4. **Simplify:** Cancel $\pi$ in numerator and denominator: $$\frac{7\cancel{\pi}}{4} \times \frac{180}{\cancel{\pi}} = \frac{7 \times 180}{4}$$ 5. **Calculate:** $$\frac{7 \times 180}{4} = \frac{1260}{4}$$ 6. **Divide:** $$\frac{\cancel{1260}}{\cancel{4}} = 315$$ 7. **Final answer:** $$\frac{7\pi}{4} \text{ radians} = 315^\circ$$