(1+1/2+ +1/2007)x(1/2+1/3+ +1/2008)-(1+1/2+ +1/2008)x(1/2+1/3+ +1/2007)=?
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(1+1/2++1/2007)x(1/2+1/3++1/2008)-(1+1/2++1/2008)x(1/2+1/3++1/2007)=?(1+1/2++1/2007)x(1/2+1/3++1/200
(1+1/2+ +1/2007)x(1/2+1/3+ +1/2008)-(1+1/2+ +1/2008)x(1/2+1/3+ +1/2007)=?
(1+1/2+ +1/2007)x(1/2+1/3+ +1/2008)-(1+1/2+ +1/2008)x(1/2+1/3+ +1/2007)=?
(1+1/2+ +1/2007)x(1/2+1/3+ +1/2008)-(1+1/2+ +1/2008)x(1/2+1/3+ +1/2007)=?
=(1+1/2+ +1/2007)x1/2008-(1/2+1/3+ +1/2007)x1/2008
=(1+1/2+ +1/2007-1/2-1/3- -1/2007)x1/2008
=1x1/2008
=1/2008