Question

so sánh hai phân số 2009/2010 và 2010/2011

Answer 1

nghịch dảo 2 p/s ta có:

\(\frac{2010}{2009}v\text{à}\frac{2011}{2010}\)

\(\frac{2010}{2009}=1\frac{1}{2009}\)               ;\(\frac{2011}{2010}=1\frac{1}{2010}\)

   vì \(\frac{1}{2009}>\frac{1}{2010}\)

   =>\(\frac{2009}{2010}

Answer 2

1-\(\frac{2009}{2010}=\frac{2010}{2010}-\frac{2009}{2010}=\frac{1}{2010}\)

1-\(\frac{2010}{2011}=\frac{2011}{2011}-\frac{2010}{2011}=\frac{1}{2011}\)

Vì 2010 < 2011 nên \(\frac{1}{2010}>\frac{1}{2011}nên\frac{2009}{2010}>\frac{2010}{2011}\)

Vậy \(\frac{2009}{2010}>\frac{2010}{2011}\)