How much is 2008 of 2009 minus 2007 of 2008? The score is fast!

(2008/2009)-(2007/2008)
=(2008^2-2007*2009)/(2008*2009)
=[2008^2-(2008-1)(2008+1)]/(2008*2009)
=(2008^2-2008^2+1)/(2008*2009)
=1/(2008*2009)
=1/4034072

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