1/6+1/12+1/20+1/30+1/42+1/56+1/72等于多少?
问题描述:
1/6+1/12+1/20+1/30+1/42+1/56+1/72等于多少?
答
1/6+1/12+1/20+1/30+1/42+1/56+1/721/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9=1/2-1/9=(9-2)/18=7/18