\(\frac{2022\times2023-2020\times2023}{2022\times2023+2024\times7+2016}\)
\(=\frac{2023\times\left(2022-2020\right)}{2022\times2023+7\times\left(2023+1\right)+2016}\)
\(=\frac{2023\times2}{2023\times2022+7\times2023+7+2016}=\frac{2023\times2}{2023\times\left(2022+7+1\right)}=\frac{2}{2022+8}\)
\(=\frac{2}{2030}=\frac{1}{1015}\)