|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|等于多少?

|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|等于多少?
|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|等于多少?

|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|等于多少?
原式=1/2003-1/2004+1/2002-1/2003+1/2001-1/2002+1/2001-1/2004
=2/2001-2/2004
=2×(2004-2001)/2001×2004
=2×3/2001×2004
=1/668334;
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答案应该是1/668334

去绝对值符号
原式=1/2003-1/2004+1/2002-1/2003+1/2001-1/2002+1/2001-1/2004
=2/2001-2/2004
=2×(2004-2001)/2001×2004
=2×3/2001×2004
=1/668334;