(1+1/1*3)*(1+1/2*4)*(1+1/3*5)*.*(1+1/2007*2009)
=(2/3)*(2/3) *(3/2)*(3/4) *(4/3)*(4/5)*.*(2008/2007)*(2008/2009)
=(2/3)*(2008/2009)
=4016/6027
(1+1/1*3)*(1+1/2*4)*(1+1/3*5)*.*(1+1/2007*2009)
=(2/3)*(2/3) *(3/2)*(3/4) *(4/3)*(4/5)*.*(2008/2007)*(2008/2009)
=(2/3)*(2008/2009)
=4016/6027