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

Toán Lớp 6: tính: 1/1.2+1/2.3+1/3.4+…+1/99.100

Toán Lớp 6: tính:
1/1.2+1/2.3+1/3.4+…+1/99.100

Comments ( 2 )

  1. 1/1.2 + 1/2.3 + 1/3.4+…+ 1/99.100
    = (2-1)/1.2 + (3-2)/2.3 + (4-3)/3.4 +…+(100-99)/99.100
    = 1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4 +…+ 1/99 – 1/100
    = 1 – 1/100
    = 99/100
     

  2. Lời giải và giải thích chi tiết:
    1/(1.2)+1/(2.3)+1/(3.4)+…+1/(99.100)
    = 1 – 1/2 + 1/2 – 1/3 + 1/3 – ………… – 1/99 + 1/99 – 1/100
    = 1 – 1/100
    = 99/100

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