Question

So sánh : 2005/2006 với 2006/2007

 

Answer 1

Ta có:

+) \(\frac{2005}{2006}=1-\frac{1}{2006};\frac{2006}{2007}=1-\frac{1}{2007}\)

Vì 2006<2007\(\Rightarrow\frac{1}{2006}>\frac{1}{2007}\Rightarrow1-\frac{1}{2006}< 1-\frac{1}{2007}\Rightarrow\frac{2005}{2006}< \frac{2006}{2007}\)

Answer 2

Ta có:

2005/2006+1/2006=1

2006/2007+1/2007=1

Ta thấy:

1/2006>1/2007

=> 2005/2006<2006/2007(vi phần bù lớn hơn thì phân số đó bé hơn)

Answer 3

ta có :

1=2005/2006+1/2006 

1=2006/2007+1/2007

vì 1/2006>1/2007

=>2005/2006<2006/2007

vậy 2005/2006<2006/2007

Answer 4

Ta có: \(\frac{2005}{2006}=1-\frac{1}{2006}\)
           \(\frac{2006}{2007}=1-\frac{1}{2007}\)
Vì: \(\frac{1}{2006}>\frac{1}{2007}\)
=> \(1-\frac{1}{2006}< 1-\frac{1}{2007}\)
=> \(\frac{2005}{2006}< \frac{2006}{2007}\)
Vậy: \(\frac{2005}{2006}< \frac{2006}{2007}\)