|1/11-1/12|+|1/12-1/13|+|1/13-1/14|+|1/14-1/15|=?这题怎么算?

问题描述:

|1/11-1/12|+|1/12-1/13|+|1/13-1/14|+|1/14-1/15|=?
这题怎么算?

绝对值都是非负数,直接把式子调出
|1/11-1/12|+|1/12-1/13|+|1/13-1/14|+|1/14-1/15|
=1/11-1/12+1/12-1/13+1/13-1/14+1/14-1/15
=1/11-1/15
=4/165