在二分之一,三分之一…,九十九分之一,一百分之一这99个分数中,找出九个分数,使他们的和等于1.

1=1/2+1/2=1/2+1/3+1/6=1/2+1/4+1/12+1/9+1/18=1/2+1/4+1/12+1/9+1/27+1/54=1/2+1/4+1/18+1/36+1/9+1/27+1/54=1/3+1/4+1/6+1/9+1/18+1/27+1/36+1/54=1/3+1/4+1/6+1/9+1/72+1/24+1/27+1/36+1/54因为1/18=1/72+1/24