1/2+5/6+11/12+19/20+29/30+......+9701/9702+9899/9900
=(1-1/2)+(1-1/6)+......+(1-1/9900)
=99-(1/2+1/6+....+1/9900)
=99-(1/1×2+1/2×3+1/3×4+.....+1/99×100)
=99-(1-1/2+1/2-1/3+1/3-...+1/99-1/100)
=99-99/100
=98+1/100
原式=1-1/2+1/2+1/3+1/3+1/4
题目不对
要不是我太笨