Question

So sánh

\(\frac{1006}{1007}\)và \(\frac{2013}{2015}\)

Answer 1

Ta có :

\(1-\frac{1006}{1007}=\frac{1}{1007}=\frac{2}{2014}\)

\(1-\frac{2013}{2015}=\frac{2}{2015}\)

Ta thấy : 

\(\frac{2}{2014}>\frac{2}{2015}\Rightarrow1-\frac{1006}{1007}< 1-\frac{2013}{2015}\)

Mà \(1=1\)

Vậy \(\frac{1006}{1007}< \frac{2013}{2015}\)

Answer 2

\(\frac{2006}{2007}< \frac{2013}{2015}\)

Answer 3

Trả lời

Ta có \(\frac{1006}{1007}=1-\frac{1}{1007}\)

            \(\frac{2013}{2015}=1-\frac{2}{2015}\)

Ta thấy \(\frac{1}{1007}=\frac{1007}{2029105}< \frac{2}{2015}=\frac{2014}{2029105}\)

\(\Rightarrow1-\frac{1}{1001}>1-\frac{1}{2029105}\)

\(\Rightarrow\frac{1006}{1007}>\frac{2013}{2015}\)