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

\(\dfrac{97}{96}=1-\dfrac{1}{96}\)

mà -1/2010>-1/96

nên 2011/2010>97/96

\(\dfrac{2011}{2010}>1;\dfrac{2010}{2011}< 1\\ Nên:\dfrac{2011}{2010}>1>\dfrac{2010}{2011}\\ Vậy:\dfrac{2011}{2010}>\dfrac{2010}{2011}\)

\(\dfrac{2011}{2010}< \dfrac{2011+1}{2010+1}=\dfrac{2012}{2011}\)

\(\Rightarrow\dfrac{2011}{2010}< \dfrac{2012}{2011}\)

\(\dfrac{2012}{2011}và\dfrac{2011}{2010}\\ \dfrac{2012}{2011}-1=\dfrac{1}{2011}\\ \dfrac{2011}{2010}-1=\dfrac{1}{2010}\\ \)

Vì \(\dfrac{1}{2011}< \dfrac{1}{2010}\\ \Rightarrow\dfrac{2012}{2011}< \dfrac{2011}{2010}\)

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}

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

                   Mình chỉ làm được câu a thôi!!!!

2010/2009 và 2011/2010

Ta có:

2010-1+1/2009=2009+1/2009=2009/2009+1/2009=1+1/2009

2011-1+1/2010=2010+1/2010=2010/2010+1/2010=1+1/2010

Vì  2009<2010=>1/2009>1/2010

=>1+1/2009>1+1/2010

=>2010/2009>2011/2010

Vậy 2010/2009>2011/2010

2010/2011 > 2009/2010

vì 1- 2010/2011=1/2011  

1- 2009/2010= 1/2010

1/2011 < 1/2010

nên 2010/2011 > 2009/2010

thật nhé không tin quy đồng

\(\dfrac{2010}{2011}\) và \(\dfrac{2011}{2012}\)

Ta có:

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

\(1-\dfrac{2011}{2012}=\dfrac{1}{2012}\)

Vì \(\dfrac{1}{2011}>\dfrac{1}{2012}\) nên \(\dfrac{2010}{2011}< \dfrac{2011}{2012}\)

$\genfrac{}{}{0ex}{}{2010}{2011}$ và $\genfrac{}{}{0ex}{}{2011}{2012}$

Ta có:

$1-\genfrac{}{}{0ex}{}{2010}{2011}=\genfrac{}{}{0ex}{}{1}{2011}$

$1-\genfrac{}{}{0ex}{}{2011}{2012}=\genfrac{}{}{0ex}{}{1}{2012}$

Vì $\genfrac{}{}{0ex}{}{1}{2011}>\genfrac{}{}{0ex}{}{1}{2012}$ nên $\genfrac{}{}{0ex}{}{2010}{2011}<\genfrac{}{}{0ex}{}{2011}{2012}$

dễ mà bạn lấy 1 trừ cho phân số

1-96 97=1 97

1-95 96=1 96

1 96>1 97 nha

vậy 95 96>96 97

mik lớp 5 nha