(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)的简便方法

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(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)的简便方法
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(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)的简便方法
(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)的简便方法

(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)的简便方法
(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)
=﹛(2011×2012+1﹚/2011﹜×﹛2012/(2011×2012+1﹚﹜+﹛(2010×2011+1﹚/2011﹜×﹛2010/(2010×2011+1﹚﹜
=2012/2011+2010/2011
=2×2011/2011
=2