Question

SO SÁNH :

      A \(=\frac{2010}{2011}+\frac{2011}{2012}\)

VÀ    B\(=\frac{2010+2011}{2011+2012}\)

Answer 1

a>b nha em

Answer 2

B=2010/2011+2012+2011//2011+2012

=2010/2011+2012<2010/2011;2011/2011+2012<2011/2012

suy ra : A>B

Answer 3

\(B=\frac{2010+2011}{2011+2012}=\frac{2010}{2011+2012}+\frac{2011}{2011+2012}\)

Ta có:

 \(\frac{2010}{2011}>\frac{2010}{2011+2012}\)

\(\frac{2011}{2012}>\frac{2011}{2011+2012}\)

\(\Rightarrow A=\frac{2010}{2011}+\frac{2011}{2012}>\frac{2010}{2011+2012}+\frac{2011}{2011+2012}=\frac{2010+2011}{2011+2012}=B\)

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