ta có
\(1-\frac{2018}{2019}=\frac{1}{2019}\)và\(1-\frac{2019}{2020}=\frac{1}{2020}\)
vì\(\frac{1}{2019}>\frac{1}{2020}\)vậy\(\frac{2018}{2019}>\frac{2019}{2020}\)
a) Ta có \(\frac{13}{7}=2-\frac{1}{7}\)
\(\frac{21}{12}=2-\frac{1}{4}\)
Vì \(\frac{1}{7}< \frac{1}{4}\)\(\Rightarrow2-\frac{1}{7}>2-\frac{1}{4}\)\(\Rightarrow\frac{13}{7}>\frac{21}{12}\)
Vậy \(\frac{13}{7}>\frac{21}{12}\)
b) Ta có : \(\frac{2018}{2019}=1-\frac{1}{2019}\)
\(\frac{2019}{2020}=1-\frac{1}{2020}\)
Vì \(\frac{1}{2019}>\frac{1}{2020}\Rightarrow1-\frac{1}{2019}< 1-\frac{1}{2020}\Rightarrow\frac{2018}{2019}< \frac{2019}{2020}\)
Vậy \(\frac{2018}{2019}< \frac{2019}{2020}\)
c) Ta có :Vì \(\frac{17}{53}< \frac{17}{50}< \frac{19}{50}\) \(\Rightarrow\frac{17}{53}< \frac{19}{50}\)
Vậy \(\frac{17}{53}< \frac{19}{50}\)