Ta có : \(\frac{2010}{2011}=\frac{2011}{2011}-\frac{1}{2011}=1-\frac{1}{2011}\)
\(\frac{2011}{2012}=\frac{2012}{2012}-\frac{1}{2012}=1-\frac{1}{2012}\)
mà \(\frac{1}{2011}>\frac{1}{2012}\)
\(\Rightarrow1-\frac{1}{2011}< 1-\frac{1}{2012}\)
\(\Rightarrow\frac{2010}{2011}< \frac{2011}{2012}\)