求(1+1/2+1/2+1/4+1/5)*1-(1+1/2+1/3+1/4)的计算过程.

问题描述:

求(1+1/2+1/2+1/4+1/5)*1-(1+1/2+1/3+1/4)的计算过程.

(1+1/2+1/2+1/4+1/5)*1-(1+1/2+1/3+1/4)
=1*1*1/5
=1/5
因为
1+1/2+1/3+1/4 重复出现,先加后减等于0

(1+1/2+1/3+1/4+1/5)*1-(1+1/2+1/3+1/4)
=1+1/2+1/3+1/4+1/5-1-1/2-1/3-1/4
=1/5