Dễ thấy:

\(\frac{2008}{2009}>\frac{2008}{2009+2010+2011}\)

\(\frac{2009}{2010}>\frac{2009}{2009+2010+2011}\)

\(\frac{2010}{2011}>\frac{2010}{2009+2010+2011}\)

=>\(\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}>\frac{2008}{2009+2010+2011}+\frac{2009}{2009+2010+2011}+\frac{2010}{2009+2010+2011}\)

Hay \(\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}>\frac{2008+2009+2010}{2009+2010+2011}\)

Vậy A > B

 Vì khi tang tu so va mau so len 1 don vi voi so thu nhat ta duoc: 
2008+1/2009+1=2008/2010 + 1/2010 
tuong tu cac phan so khac neu ban muon so sanh cac phan so voi nhau.

A = \(\dfrac{2008}{2009+2010+2011}+\dfrac{2009}{2009+2010+2011}+\dfrac{2010}{2009+2010+2011}\)

Ta có: 

\(\dfrac{2008}{2009}>\dfrac{2008}{2009+2010+2011}\)

\(\dfrac{2009}{2010}>\dfrac{2009}{2009+2010+2011}\)

\(\dfrac{2010}{2011}>\dfrac{2010}{2009+2010+2011}\)

Từ 3 điều trên suy ra : A < B

mình cũng có bài giống như này nhưng chưa làm được

mình cũng thế

^{Ta có: 2008/2009 > 2008/2009+2010+2011}

       2009/2010> 2009/2010+2011

      2010/2011>2010>2010/2009+2010+2011

Suy ra: A>2008+2009+2010/2009+2010+2011

Vậy A >B

Tớ cũng có bài này nhưng chưa làm được

cau tra loi la 50 khong can biet lam the nao