\(\dfrac{2007}{2008}-\dfrac{2006}{2007}=\dfrac{2007}{2008\times2007}-\dfrac{2006}{2007\times2008}\)
\(=\dfrac{2007-2006}{2007\times2008}=\dfrac{1}{2007\times2008}=\dfrac{1}{4030056}\)
ta xét phần bù:
1-2007/2008=1/2008;1-2006/2007=1/2007
vì 1/2008<1/2007 nên 2007/2008>2006/2007