如何从1/2,1/3,1/4.,1/90,1/91中挑出十个数,加+-号,使结果等于-1

问题描述:

如何从1/2,1/3,1/4.,1/90,1/91中挑出十个数,加+-号,使结果等于-1

-1=-1/5-1/6-1/8-1/9-1/10-1/12-1/15-1/18-1/20-1/24
1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10=1-1/10
所以:
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/10=1
即:
-1/2-1/6-1/12-1/20-1/30-1/42-1/56-1/72-1/90-1/10=-1