1. **Stating the problem:** We are given a sector of a circle with a central angle of 320°. 2. **Formula used:** The fraction of the circle represented by the sector is given by the ratio of the central angle to the full angle of the circle, which is 360°. So, the fraction is $$\frac{\text{central angle}}{360^\circ}$$. 3. **Calculate the fraction:** Substitute the given angle: $$\frac{320^\circ}{360^\circ}$$ 4. **Simplify the fraction:** Both numerator and denominator can be divided by 40: $$\frac{\cancel{320}^\circ}{\cancel{360}^\circ} = \frac{8}{9}$$ 5. **Interpretation:** The sector represents $$\frac{8}{9}$$ of the full circle. **Final answer:** The sector is $$\frac{8}{9}$$ of the entire circle.