Question

So sánh

A=\(\dfrac{2011}{2014}\)và B=\(\dfrac{2014}{2017}\)

Answer 1

Ta có:

\(A=\dfrac{2011}{2014}=\dfrac{2014-3}{2014}=\dfrac{2014}{2014}-\dfrac{3}{2014}=1-\dfrac{3}{2014}\)

\(B=\dfrac{2014}{2017}=\dfrac{2017-3}{2017}=\dfrac{2017}{2017}-\dfrac{3}{2017}=1-\dfrac{3}{2017}\)

Vì \(\dfrac{3}{2014}>\dfrac{3}{2017}\Rightarrow1-\dfrac{3}{2014}>1-\dfrac{3}{2017}\)

\(\Leftrightarrow\dfrac{2011}{2014}>\dfrac{2014}{2017}\) Hay \(A>B\)

Vậy A>B

Answer 2

Ta có: \(\dfrac{2011}{2014}=1-\dfrac{3}{2014}\\ \dfrac{2014}{2017}=1-\dfrac{3}{2017}\\ Vì:\dfrac{3}{2014}>\dfrac{3}{2017}\\ =>1-\dfrac{3}{2014}< 1-\dfrac{3}{2017}\\ hay:\dfrac{2011}{2014}< \dfrac{2014}{2017}\)