|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2008-1/2007|
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![|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2008-1/2007|](/uploads/image/z/5206916-20-6.jpg?t=%7C1%2F3-1%2F2%7C%2B%7C1%2F4-1%2F3%7C%2B%7C1%2F5-1%2F4%7C%2B.%2B%7C1%2F2008-1%2F2007%7C)
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|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2008-1/2007|
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2008-1/2007|
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2008-1/2007|
=1/2-1/3+1/3-1/4+1/4-1/5+1/2007-1/2008
=1/2-1/2008
=1003/2008