Functions

If \(f(x) = {{{2^{2x}}} \over {{2^{2x}} + 2}},x \in \mathbb{R}\), then \(f\left( {{1 \over {2023}}} \right) + f\left( {{2 \over {2023}}} \right)\, + \,...\, + \,f\left( {{{2022} \over {2023}}} \right)\) is equal to