Question

[hang Le]

tính ra và so sánh phân số

a,2005/2006  và  2006/2007

b,2008/2007  và  2007/2006

Answer 1

[Mạnh Lê]

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 \(\frac{2008}{2007}< \frac{2007}{2006}\)

Answer 2

[Kaxx]

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

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