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

Toán Lớp 6: ( x – 1/2 ) + ( x – 1/6 )+ ( x – 1/12 ) + ( x – 1/20 ) + – + ( x – 1/90 ) + ( x – 1/110 ) = 12/11

Home/ Toán Lớp 6: ( x – 1/2 ) + ( x – 1/6 )+ ( x – 1/12 ) + ( x – 1/20 ) + – + ( x – 1/90 ) + ( x – 1/110 ) = 12/11

Toán Lớp 6: ( x – 1/2 ) + ( x – 1/6 )+ ( x – 1/12 ) + ( x – 1/20 ) + – + ( x – 1/90 ) + ( x – 1/110 ) = 12/11

Tháng Hai 9, 2023 Toán học 2 Comments 0 views

Toán Lớp 6: ( x – 1/2 ) + ( x – 1/6 )+ ( x – 1/12 ) + ( x – 1/20 ) + …. + ( x – 1/90 ) + ( x – 1/110 ) = 12/11

Comments ( 2 )

  1. minhtamnguyet88
    minhtamnguyet88
    9 Tháng Hai, 2023 at 1:57 chiều
    Reply
    Giải đáp+Lời giải và giải thích chi tiết:
     (x -1/2) + ( x – 1/6 )+ ( x – 1/12 ) + ( x – 1/20 ) + …. + ( x – 1/90 ) + ( x – 1/110 ) = 12/11
    => (x + x + … + x) – (1/2 + 1/6 + 1/12 + … + 1/110) = 12/11
    Ta có: 1/2 + 1/6 + 1/12 + … + 1/110
    => = 1/(1.2) + 1/(2.3) + 1/(3.4) + … + 1/(10.11)
    => = 1 – 1/2 + 1/2 – 1/3 + .. + 1/10 – 1/11
    => = 1 – 1/11
    => 10/11 
    Lại có: (x + x + … + x) – (1/2 + 1/6 + 1/12 + … + 1/110) = 12/11
    => 10x – 10/11 = 12/11
    => 10x = 22/11
    => x =1/5
    Vậy x= 1/5
    $@Pipimm~$

  2. dananhthumai
    dananhthumai
    9 Tháng Hai, 2023 at 1:57 chiều
    Reply
    (x – 1/2) + (x – 1/6) + (x – 1/12) + … + (x – 1/110) = 12/11
    => (x + x + … + x) – (1/2 + 1/6 + 1/12 + … + 1/110) = 12/11
    Ta có:
    1/2 + 1/6 + 1/12 + … + 1/110
    = 1/(1.2) + 1/(2.3) + 1/(3.4) + … + 1/(10.11)
    = 1 – 1/2 + 1/2 – 1/3 + .. + 1/10 – 1/11
    = 1 – 1/11
    = 10/11
    Do đó:
    (x + x + … + x) – (1/2 + 1/6 + 1/12 + … + 1/110) = 12/11
    => 10x – 10/11 = 12/11
    => 10x = 12/11 + 10/11
    => 10x = 22/11
    => x = 1/5
    Vậy x = 1/5

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

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