Question

so sánh :

\(\frac{2010}{2009}va\frac{2011}{2010}\)

Answer 1

Ta có:

\(\frac{2010}{2009}=\frac{2009+1}{2009}=1+\frac{1}{2009}\)

\(\frac{2011}{2010}=\frac{2010+1}{2010}=1+\frac{1}{2010}\)

Vì \(2009<2010=>\frac{1}{2009}>\frac{1}{2010}\)

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

Ai tích mình mình tích lại

Answer 2

Các bạn xem mình làm có đúng ko ?

\(\frac{2010}{2009}=\frac{2009+1}{2009}=\frac{2009}{2009}+\frac{1}{2009}=1+\frac{1}{2009}\)

\(\frac{2011}{2010}=\frac{2010+1}{2010}=\frac{2010}{2010}+\frac{1}{2010}=1+\frac{1}{2010}\)

Ta thấy : \(\frac{1}{2009}>\frac{1}{2010}\)=> \(1+\frac{1}{2009}>1+\frac{1}{2010}\)

Vậy ................................

Answer 3

Ta có: \(\frac{2010}{2009}=1+\frac{1}{2009}\)

\(\frac{2011}{2010}=1+\frac{1}{2010}\)

Vì \(\frac{1}{2009}>\frac{1}{2010}\Rightarrow\frac{2010}{2009}>\frac{2011}{2010}\)

Answer 4

Ta có : \(\frac{2010}{2009}-1=\frac{1}{2009}\)\(\frac{2011}{2010}-1=\frac{1}{2010}\)

vì \(\frac{1}{2009}>\frac{1}{2010}\)nên\(\frac{2010}{2009}>\frac{2011}{2010}\)

                             Đáp số :\(\frac{2010}{2009}>\frac{2011}{2010}\)