\(\frac{2008}{2009}=\frac{1995}{1996}\)
Ta có :
1 - 2008/2009 = 2009/2009 - 2008/2009 = 1/2009
1 - 1995/1996 = 1996/1996 - 1995/1996 = 1/1996
Vì 1/2009 < 1/1996 => 2008/2009 > 1995/1996
\(\frac{2008}{2009}=\frac{2009-1}{2009}=1-\frac{1}{2009}\)
\(\frac{1995}{1996}=\frac{1996-1}{1996}=1-\frac{1}{1996}\)
\(2009>1996\Rightarrow\frac{1}{2009}<\frac{1}{1996}\Rightarrow1-\frac{1}{2009}>1-\frac{1}{1996}\Rightarrow\frac{2008}{2009}>\frac{1995}{1996}\)
Vì 1 - 2008/2009 =1/2009
1 - 1995/1996 =1/1996
=>1/2009 < 1/1996
=>2008/2009 > 1995/1996