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要从1/2,1/3,1/4,1/5,.1/49,1/50这49个数中挑出7不同个分数,使他们的和为1,求这7个分数.
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要从1/2,1/3,1/4,1/5,.1/49,1/50这49个数中挑出7不同个分数,使他们的和为1,求这7个分数.
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答案和解析
1/2+1/6=2/3
1/2+1/6+1/12=3/4
1/2+1/6+1/12+1/20=4/5
1/2+1/6+1/12+1/20+1/30=5/6
1/2+1/6+1/12+1/20+1/30+1/42=6/7
1/2+1/6+1/12+1/20+1/30+1/42+1/7=1
1/2+1/6+1/12=3/4
1/2+1/6+1/12+1/20=4/5
1/2+1/6+1/12+1/20+1/30=5/6
1/2+1/6+1/12+1/20+1/30+1/42=6/7
1/2+1/6+1/12+1/20+1/30+1/42+1/7=1
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