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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: 2010/1+2009/2+2008/3+…+1/2010 : 1/2+1/3+1/4+…+1/2011

Toán Lớp 6: 2010/1+2009/2+2008/3+…+1/2010 : 1/2+1/3+1/4+…+1/2011

Comments ( 2 )

  1. $\dfrac{2010}{1}$ + $\dfrac{2009}{2}$ + $\dfrac{2008}{3}$ + … + $\dfrac{1}{2010}$ : $\dfrac{1}{2}$ + $\dfrac{1}{3}$ + $\dfrac{1}{4}$ + … + $\dfrac{1}{2011}$
     = ($\dfrac{2009}{2}$ + 1) + ($\dfrac{2008}{3}$ + 1) + … + ($\dfrac{1}{2010}$ + 1) + 1
    = $\dfrac{2011}{2}$ + $\dfrac{2011}{3}$ + … + $\dfrac{2011}{2010}$ + $\dfrac{2011}{2011}$
    = 2011 . ($\dfrac{1}{2}$ + $\dfrac{1}{3}$ + $\dfrac{1}{4}$ + … + $\dfrac{1}{2011}$) : $\dfrac{1}{2}$ + $\dfrac{1}{3}$ + $\dfrac{1}{4}$ + … + $\dfrac{1}{2011}$
    = 2011

  2. Giải đáp+Lời giải và giải thích chi tiết:
    Ta có:
    2021/1+2009/2+2008/3+…+1/2010 : 1/2+1/3+1/4+1/5+…+2/2011
    Đặt A=2021/1+2009/2+2008/3+…+1/2010
    A=2021/1+2009/2+2008/3+…+1/2010
       =(2009/2+1)+(2008/3+1)+…+(1/2021+1)
      =2011/2+2011/3+2011/4+…+2011/2011
       =2011*(1/2+1/3+1/4+1/5+…+1/2011)
    A : 1/2+1/3+1/4+1/5+…+2/2011
    =2011*(1/2+1/3+1/4+1/5+…+1/2011) : 1/2+1/3+1/4+1/5+…+2/2011
    =2011
    Chúc bạn học tốt

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222-9+11+12:2*14+14 = ? ( )