|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|.求祝各位高手们！~~~~(>_

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|.求祝各位高手们！~~~~(>_
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|.
求祝各位高手们！~~~~(>_

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|.求祝各位高手们！~~~~(>_
|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

|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谢谢O(∩_∩)O！记得答案是 503/1007 哈。对不...

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|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

收起

答案等于1007分之503