\(\frac{2005}{2006}=1-\frac{1}{2006}

Ta có :

  1 - 2005/2006 = 1/2006

   1 - 2006 - 2007 = 1/2007

 Vì 1/2006 > 1/2007 nên 2005/2006 < 2006/2007

2005/2006<2006/2007      

Ta có: \(\frac{2005}{2006}=1-\frac{1}{2006}\);  \(\frac{2006}{2007}=1-\frac{1}{2007}\)

Vì \(\frac{1}{2006}>\frac{1}{2007}\) nên \(1-\frac{1}{2006}

Ta có: 20052006 =1−12006 ;  20062007 =1−12007 

Vì 12006 >12007  nên 1−12006 <1−12007 

Vậy 

Ta có:

\(\frac{2005}{2006}=1-\frac{1}{2006}\)

\(\frac{2006}{2007}=1-\frac{1}{2007}\)

Mà \(\frac{1}{2006}>\frac{1}{2007}\) hay \(1-\frac{1}{2006}>1-\frac{1}{2007}\)

Nên \(\frac{2005}{2006}< \frac{2006}{2007}\)

ta có:\(1-\frac{2005}{2006}=\frac{1}{2006}\)

\(1-\frac{2006}{2007}=\frac{1}{2007}\)

vì 2006<2007

=>\(\frac{1}{2006}>\frac{1}{2007}\)

=>\(\frac{2005}{2006}>\frac{2006}{2007}\)

2005/2006<2006/2007

k minh nha

TA có : \(\frac{2005}{2006}=1-\frac{1}{2006}\)

             \(\frac{2006}{2007}=1-\frac{1}{2007}\)

Vì \(\frac{1}{2007}<\frac{1}{2006}\) nên \(\frac{2006}{2007}>\frac{2005}{2006}\)

a) Ta có:

\(1-\frac{2005}{2006}=\frac{1}{2006}\)

\(1-\frac{2006}{2007}=\frac{1}{2007}\)

Vì \(\frac{1}{2006}>\frac{1}{2007}\)nên \(\frac{2005}{2006}>\frac{2006}{2007}\)

b) Ta có:

\(\frac{2008}{2007}-1=\frac{1}{2007}\)

\(\frac{2007}{2006}-1=\frac{1}{2006}\)

Vì \(\frac{1}{2006}>\frac{1}{2007}\)nên \(\frac{2008}{2007}< \frac{2007}{2006}\)

a, \(\frac{2005}{2006}v\text{à}\frac{2006}{2007}\)= \(\frac{2005\cdot2007}{2006\cdot2007}\)và \(\frac{2006\cdot2006}{2007\cdot2006}\)

= \(\frac{4024035}{4026042}\)< \(\frac{4024036}{4026042}\)

b, \(\frac{2008}{2007}v\text{à}\frac{2007}{2006}\)= \(\frac{2008\cdot2006}{2007\cdot2006}v\text{à}\frac{2007\cdot2007}{2006\cdot2007}\)

=\(\frac{4028048}{4026042}\)< \(\frac{4028049}{4026042}\)

\(\frac{2005}{2006}>\frac{2006}{2007}\)

\(\frac{2005}{2006}=0,9995014955...........\)

\(\frac{2006}{2007}=0,99955017439..............\)

a)có tử và mẫu lớn hơn thì lớn hơn!

b)có tử,mẫu lớn hơn thì bé hơn!

c)tương tự câu a

đúng 100%

\(\frac{2005}{2006}< \frac{2006}{2007}\)

Ta có: \(\frac{2005}{2006}< \frac{2005}{2007}\)

Mà \(\frac{2005}{2007}< \frac{2006}{2007}\)

=>\(\frac{2005}{2006}< \frac{2006}{2007}\)