Ta có:
\(\frac{20}{21}=\frac{21}{21}-\frac{1}{21}=1-\frac{1}{21}\)
\(\frac{2000}{2001}=\frac{2001}{2001}-\frac{1}{2001}=1-\frac{1}{2001}\)
Vì \(\frac{1}{21}>\frac{1}{2001}\)
=> \(1-\frac{1}{21}< 1-\frac{1}{2001}\)
=> \(\frac{20}{21}< \frac{2000}{2001}\)
Ta có :
\(1-\frac{20}{21}=\frac{1}{21}\)
\(1-\frac{2000}{2001}=\frac{1}{2001}\)
Vì : \(\frac{1}{21}>\frac{1}{2001}\) Nên : \(\frac{20}{21}< \frac{2000}{2001}\)