1. **State the problem:** We need to find which of the given options is equal to the expression $$2017 - \frac{1}{2017}$$. 2. **Rewrite the expression with a common denominator:** $$2017 - \frac{1}{2017} = \frac{2017 \times 2017}{2017} - \frac{1}{2017} = \frac{2017^2 - 1}{2017}$$ 3. **Factor the numerator using the difference of squares:** $$2017^2 - 1 = (2017 - 1)(2017 + 1) = 2016 \times 2018$$ 4. **Substitute back:** $$\frac{2017^2 - 1}{2017} = \frac{2016 \times 2018}{2017}$$ 5. **Compare with the options:** The expression equals $$\frac{2018 \times 2016}{2017}$$. **Final answer:** $$\boxed{\frac{2018 \times 2016}{2017}}$$