Question

So sánh: A= \(\dfrac{2011+2012}{2012+2013}\) và B= \(\dfrac{2011}{2012}\)+\(\dfrac{2012}{2013}\)

Answer 1

Mai Quỳnh

B = 2011/2012+2012/2013 > 2011/2013+ 2012/2013

= 2011+2012/2013>2011+2012/ 2012+2013

= A.

Vậy B>A

Answer 2

Ta có:\(A=\dfrac{2011+1012}{2012+2013}\)

\(A=\dfrac{2011}{4023}+\dfrac{2012}{4023}< \dfrac{2011}{2012}+\dfrac{2012}{2013}=B\)

=> A<B

Vậy A<B