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

Toán Lớp 6: Tính nhanh: 1/2 + 1/6 + 1/12 + … + 1/72 + 1/90

Toán Lớp 6: Tính nhanh:
1/2 + 1/6 + 1/12 + … + 1/72 + 1/90

Comments ( 2 )

  1. 1/2 + 1/6 + 1/12 + …. + 1/72 + 1/90
    = 1/( 1 . 2) + 1/( 2 . 3) + 1/( 3 . 4) + …. + 1/( 8 . 9) + 1/( 9 . 10)
    =1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4 + … + 1/8 – 1/9 + 1/9 – 1/10
    = 1 – 1/10
    = 10/10 – 1/10
    = 9/10
    #caty09
     

  2. 1/2+1/6+1/(12)+…+1/(72)+1/(90)
    =1/(1.2)+1/(2.3)+1/(3.4)+…+1/(8.9)+1/(9.10)
    =1-1/2-1/2+1/3-1/4+…+1/8-1/9+1/9-1/(10)
    =1-1/(10)
    =(10)/(10)-1/(10)
    =9/(10)
     

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

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