|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-...................-1/2013+(1/2013-1/2014)
=1/2-1/2014
=1007/2014-1/2014
=503/1007
|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
答案等于1007分之503