1999/(1999+1999/2000)的简算

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1999/(1999+1999/2000)的简算
1999/(1999+1999/2000)的简算

1999/(1999+1999/2000)的简算
首先把分子分母都除以1999得
=1/(1+1/2000)
=1/(2001/2000)
=2000/2001

对分母通分得1999/(2001*1999/2000)=2000/2001

1999/(1999+1999/2000)
=1999/ (1999*2000/2000+1999/2000)
=1999/ [(1999*2000+1999)/2000]
=1999/(1999*2001)/2000
=(1999*2000)/(1999*2001)
=2000/2001