数学题一道,求简便运算.|1/2009-1/2008|+|1/2008-1/2007|+|1/2009-1/2007|要详细的过程,

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数学题一道,求简便运算.|1/2009-1/2008|+|1/2008-1/2007|+|1/2009-1/2007|要详细的过程,数学题一道,求简便运算.|1/2009-1/2008|+|1/200

数学题一道,求简便运算.|1/2009-1/2008|+|1/2008-1/2007|+|1/2009-1/2007|要详细的过程,
数学题一道,求简便运算.
|1/2009-1/2008|+|1/2008-1/2007|+|1/2009-1/2007|要详细的过程,

数学题一道,求简便运算.|1/2009-1/2008|+|1/2008-1/2007|+|1/2009-1/2007|要详细的过程,
a>b,1/a

=1/2008-1/2009+1/2007-1/2008+1/2007-1/2009
=1/2007+1/2007-1/2009-1/2009
=2/2007-2/2009
=4/(2007×2009)