2005*2003/2004-1001*1001/1002

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2005*2003/2004-1001*1001/1002
2005*2003/2004-1001*1001/1002

2005*2003/2004-1001*1001/1002
2005*2003/2004-1001*1001/1002
=(2004+1)(2004-1)/2004-(1002-1)^2/1002
=2004^2-1/2004-(1002^2-2*1002-1)/1002
=2004-1/2004-1002+2-1/1002=1003+2001/2004
最后的结果写成带分数即可

2005*2003/2004-1001*1001/1002
=(2004-1)×(2004+1)/2004-(1002-1)×(1002-1)/1002
=(2004^2-1)/2004-(1002^2-2×1002+1)/1002
=2004-1/2004-(1002-2+1/1002)
=1004-1/668