|1/2-1/3|+|1/3-1/4|+|1/4-1/5|+···+|1/2014-1/2015|等于多少?
问题描述：
|1/2-1/3|+|1/3-1/4|+|1/4-1/5|+···+|1/2014-1/2015|等于多少?
像1/2这样的都是分数
答
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|.
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2013-1/2014
=1/2-1/2014
=553/1007
打字不易,请你看清题目是|1/2014-1/2015|不是|1/2014-1/2013|