2006÷(2006又2006/2007)+1/2008
=2006÷[(2006*2007+2006)/2007]+1/2008
=2006÷[(2006*2008)/2007]+1/2008
=2006*[2007/(2006*2008)]+1/2008
=2007/2008+1/2008
=2008/2008
=1
如果是分数乘除中出现带分数,一般都要化成假分数,方便约分.比如说这个例子：
(1+1/2)(1+1/3)(1+1/4)...(1+1/1999)
=(3/2)*(4/3)*(5/4)*...*(2000/1999)
=2000/2
=1000