有简便方法计算:|1/11-1/12|+|1/12-1/13|+|1/14-1/13|

问题描述:

有简便方法计算:|1/11-1/12|+|1/12-1/13|+|1/14-1/13|

|1/11-1/12|+|1/12-1/13|+|1/14-1/13|
=(1/11-1/12)+(1/12-1/13)-(1/14-1/13)
=1/11-1/12+1/12-1/13-1/14+1/13
=1/11-1/14
=3/154