1/(1x2)+1/(2x3)+1/(3x4)+．．．．．．+1/(99x100)=?要计算过程．
问题描述：
1/(1x2)+1/(2x3)+1/(3x4)+．．．．．．+1/(99x100)=?要计算过程．
答
1/(1x2)+1/(2x3)+1/(3x4)+．．．．．．+1/(99x100)
=1/1-1/2+1/2-1/3+1/3+1/4+．．．．．．+1/99-1/100
=1-1/100
=99/100