|1/3-1|+|1/5-1/3|+…+|1/2009-1/2007|=

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|1/3-1|+|1/5-1/3|+…+|1/2009-1/2007|=

|1/3-1|+|1/5-1/3|+…+|1/2009-1/2007|=
|1/3-1|+|1/5-1/3|+…+|1/2009-1/2007|=

|1/3-1|+|1/5-1/3|+…+|1/2009-1/2007|=
|1/3-1|+|1/5-1/3|+…+|1/2009-1/2007|
=1-1/3+1/3-1/5+ ……+1/2007-1/2009
=1-1/2009
=2008/2009

=1-1/3+1/3-1/5+ ……+1/2007-1/2009
=1-1/2009
=2008/2009