2+3+4+……+2003=（2+2003）×2002/2=2005×1001
1+2+3+……+2002=（1+2002）×2002/2=2003×1001
∴2+3+4+…+2003分之1+2+3+…2002=2005×1001分之2003×1001=2005分之2003=2003/2005
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