Ta có: \(\frac{2012}{2011}=1-\frac{1}{2011}\)
\(\frac{2011}{2010}=1-\frac{1}{2010}\)
Vì \(\frac{1}{2011}>\frac{1}{2010}\)nên \(\frac{2012}{2011}>\frac{2011}{2010}\)
\(\Rightarrow\frac{2012}{2011}>\frac{2011}{2010}\)
\(\frac{2012}{2011}=1+\frac{1}{2011}\)
\(\frac{2011}{2010}=1+\frac{1}{2010}\)
vì \(\frac{1}{2011}< \frac{1}{2010}\)
nên \(\frac{2012}{2011}< \frac{2011}{2010}\)
Ta có: 2012/2011 - 1 = 1/2011
2011/2010 - 1 = 1/2010
Vì 1/2011 <1/2010 => 2012/2011 > 2011/2010.