小学奥数题1/(1*2)+1/(2*3)+1/(3*4)+...+1/(99*100)

题目

小学奥数题1/(1*2)+1/(2*3)+1/(3*4)+...+1/(99*100)
我儿子卷纸上的.
1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+……+1/(98*99)+1/(99*100)
可分只能给一个人,那就给第一个人了.

答案

1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+……+1/(98*99)+1/(99*100)
=1-1/2+1/2-1/3+.+1/99-1/100
=1-1/100
=99/100