(1/1009-1)*(1/1010-1)*...*(1/2009-1)*(1/2010-1)等于?

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(1/1009-1)*(1/1010-1)*...*(1/2009-1)*(1/2010-1)等于?
(1/1009-1)*(1/1010-1)*...*(1/2009-1)*(1/2010-1)等于?

(1/1009-1)*(1/1010-1)*...*(1/2009-1)*(1/2010-1)等于?
(1/1009-1)*(1/1010-1)*...*(1/2009-1)*(1/2010-1)
=(-1008/1009)(-1009/1010)*.(-2008/2009)(-2009/2010)
=1008/2010
=168/335

楼上答案不是最简分数
(1/1009-1)*(1/1010-1)*...*(1/2009-1)*(1/2010-1)
=(-1008/1009)(-1009/1010)...(-2008/2009)(-2009/2010)
=1008/2010
=168/335