Ta có:
\(\frac{2017}{2019}=1-\frac{2}{2019}\)
\(\frac{2018}{2020}=1-\frac{2}{2020}\)
Vì \(\frac{2}{2019}>\frac{2}{2020}\)
=> \(1-\frac{2}{2019}>1-\frac{2}{2020}\)
=> \(\frac{2017}{2019}>\frac{2018}{2020}\)
\(\frac{2017}{1019}>\frac{2018}{2020}\)
Ta có: \(2017>1019\)
\(\Rightarrow\frac{2017}{1019}>1\)
\(\Rightarrow\frac{2017}{1019}>\frac{2017+1}{1019+1}=\frac{2018}{1020}>\frac{2018}{2020}\)
Vậy \(\frac{2017}{1019}>\frac{2018}{2020}\)