78除以78又79分之78的简便算法,

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78除以78又79分之78的简便算法,
78除以78又79分之78的简便算法,

78除以78又79分之78的简便算法,
78除以78又79分之78
=78/(78+78/79)
=78/[78(1+1/79)]
=1/(1+1/79)
=1/(80/79)
=79/80

=(78/78)*(78*79/78)

78/(78又78/79)
=78/[(78*79+78)/79]
=78*79/78*80
=79/80

可以这样算
(78/78)+[78/(78/79)]=1+79=80

78/(78+78/79)
=78*79/(78*79+78)
=(78*79+78)/(78*79+78)-78/(78*79+78)
=1-1/(79+1)=79/80