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

Toán Lớp 6: Tính : `10/56+10/140+10/260+…+10/1400`

Toán Lớp 6: Tính : 10/56+10/140+10/260+…+10/1400

Comments ( 2 )

  1. Ta đặt :A=10/56+10/140+10/260+…+10/1400
    =5/28+5/70+5/130+..+5/700
    =5/3(\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+…+\frac{3}{25.28})
    =5/3(1/4-1/7+1/7-1/10+….+1/15-1/28)
    =5/3(1/4-1/28)
    =5/14
    Vậy A=5/14

  2. Giải đáp + Lời giải và giải thích chi tiết:
     10/56 + 10/140 + 10/260 + … + 10/1400
    = 5/28 + 5/70 + 5/130 + … + 5/700
    = 5/(4.7) + 5/(7.10) + 5/(10.13) + … + 5/(25.28)
    = 5/3 . ( 3/(4.7) + 3/(7.10) + 3/(10.13) + … + 3/(25.28) )
    = 5/3 . (1/4 – 1/7 + 1/7 – 1/10 + 1/10 – 1/13 + … + 1/25 – 1/28)
    = 5/3 . (1/4 – 1/28)
    = 5/3 . ( 7/28 – 1/28)
    = 5/3 . 3/14
    = 5/14
     

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

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