1 - 1/2+1/2 - 1/3+1/3 - 1/4+1/4 - 1/5+……+1/98 - 1/99+1/99 - 1/100=1 - 1/100=99/100这道题是怎么算的，我看不懂1X2分之1十2X3分之1十3X4分之1…十98X99分之1十99X100分之1=1/2+1/6+1/12+…+1/9900(1 - 1/2)+(1/2 - 1/3)+(1/3- 1/4)+(1/4 -1/5)+……+(1/98 - 1/99)+(1/99 - 1/100)
=1 - 1/100
=99/100中间全部消掉了懂了吗懂了吗不懂可以说出来规律是什么把一个数拆开来算1/2=1 - 1/21/6=1/2 - 1/31/12=1/3x4=1/3 - 1/41/6=1/2x3=1/2 - 1/3明白了吗1X2分之1十2X3分之1十3X4分之1…十98X99分之1十99X100分之1
=1/2+1/6+1/12+…+1/9900
=(1 - 1/2)+(1/2 - 1/3)+(1/3- 1/4)+(1/4 -1/5)+……+(1/98 - 1/99)+(1/99 - 1/100)
=1 - 1/2+1/2 - 1/3+1/3- 1/4+1/4 -1/5+……+1/98 - 1/99+1/99 - 1/100
=1 - 1/100
=99/100记得采纳哦,亲