计算:|1/3-1/2|+|1/4-3/1|+|1/5-1/4|+.+|1/2010-1/2009|今天一定要有回复哈,要写清楚过_数学解答

计算:|1/3-1/2|+|1/4-3/1|+|1/5-1/4|+.+|1/2010-1/2009|
今天一定要有回复哈,要写清楚过程,要不我可能看不懂,

人气：465 ℃　时间：2019-10-24 13:49:44

解答

|1/3-1/2|+|1/4-3/1|+|1/5-1/4|+.+|1/2010-1/2009|
=1/2-1/3+1/3-1/4+1/4-1/5+.+1/2009-1/2010
=1/2-1/2010
=1004/2010
=502/1005