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

Toán Lớp 6: Tính A=5/6+5/66+5/176+…+5/248496

Toán Lớp 6: Tính
A=5/6+5/66+5/176+…+5/248496

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    A = 5/6 + 5/66 + 5/176 + …. + 5/248469
    A = 5/(1 . 6) + 5/(6 . 11) + 5/(11 . 16) + … + 5/(496 . 501)
    A = (6 – 1)/(1 . 6) + (11 – 6)/(6 . 11) +…+ (501 – 496)/(496 . 501)
    A = 1 – 1/6 + 1/6 – 1/11 + 1/11 – 1/17 + … + 1/496 – 1/501
    A = 1 – 1/501
    A = 501/501 – 1/501
    A = 500/501

  2. A = 5/6 + 5/66 + 5/176 + …. + 5/248496
    = 5/( 1 . 6) + 5/ ( 6 . 11) + 5/( 11 . 16) + … + 5/( 496 . 501)
    = 1 – 1/6 + 1/6 – 1/11 + 1/11 – 1/16 + … + 1/496 – 1/501
    = 1 – 1/501
    = 501/501 – 1/501
    = 500/501
    Vậy A = 500/501

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

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