1-(1/2-1/3)-(1/3-1/4).-(1/2007-1/2008)=?

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1-(1/2-1/3)-(1/3-1/4).-(1/2007-1/2008)=?
1-(1/2-1/3)-(1/3-1/4).-(1/2007-1/2008)=?

1-(1/2-1/3)-(1/3-1/4).-(1/2007-1/2008)=?
1-(1/2-1/3)-(1/3-1/4).-(1/2007-1/2008)=1-1/2+1/3-1/3+1/4.-1/2007+1/2008=1-1/2+1/2008=1005/2008
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