1/3+1/6+1/12+1/24+1/48要有简算过程

问题描述:

1/3+1/6+1/12+1/24+1/48
要有简算过程

1/3+1/6+1/12+1/24+1/48=(1/3+1/6+1/12+1/24+1/48+1/48)-1/48=(1/3+1/6+1/12+1/24+1/24)-1/48=(1/3+1/6+1/12+1/12)-1/48=(1/3+1/6+1/6)-1/48=(1/3+1/3)-1/48=2/3-1/48=31/48