(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/6)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)简便运算 过程

如题所述

(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*(1/2+1/3+1/4)+(1/5)*(1/2+1/3+1/4)
所以：
（1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/6)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)
=（1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/6)-[(1+1/2+1/3+1/4)*(1/2+1/3+1/4)+(1/5)*(1/2+1/3+1/4)]
=（1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/6)-(1+1/2+1/3+1/4)*(1/2+1/3+1/4)-(1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*[1/2+1/3+1/4+1/6-(1/2+1/3+1/4)]-(1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*(1/6)-(1/5)*(1/2+1/3+1/4)
再把前一项这个搞一次咯。

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