Ta có: \(1-\frac{2011}{2012}=\frac{1}{2012}\)
\(1-\frac{2013}{2014}=\frac{1}{2014}\)
Có: \(\frac{1}{2012}>\frac{1}{2014}\)
\(\Rightarrow\frac{2011}{2012}< \frac{2013}{2014}\)
Mk so sánh khoảng cách của các số đến 1.
\(1-\frac{2011}{2012}=\frac{1}{2012}\)
\(1-\frac{2013}{2014}=\frac{1}{2014}\)
Vì: \(2012< 2014\) nên \(\frac{2011}{2012}< \frac{2013}{2014}\)
ta có: \(1-\frac{2011}{2012}=\frac{1}{2012};1-\frac{2013}{2014}=\frac{1}{2014}\)
\(\Rightarrow\frac{1}{2012}>\frac{1}{2014}\Rightarrow1-\frac{2011}{2012}>1-\frac{2013}{2014}\)
\(\Rightarrow\frac{2011}{2012}< \frac{2013}{2014}\)
Ta có :
\(1-\frac{2011}{2012}=\frac{1}{2012}\)
\(1-\frac{2013}{2014}=\frac{1}{2014}\)
Vì \(\frac{1}{2012}< \frac{1}{2014}\)\(\Rightarrow\)\(1-\frac{2011}{2012}< 1-\frac{2013}{2014}\)
Hay \(\frac{2011}{2012}< \frac{2013}{2014}\)
Vậy \(\frac{2011}{2012}< \frac{2013}{2014}\)
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