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

Toán Lớp 8: tính: 1/14.34 + 1/34.20 + 1/46.26 + 1/20.46 + 1/7.20 + 1/20.13

Toán Lớp 8: tính: 1/14.34 + 1/34.20 + 1/46.26 + 1/20.46 + 1/7.20 + 1/20.13

Comments ( 2 )

  1. $\\$
    1/(14.34) + 1/(34.20) + 1/(46.26) + 1/(20.46) + 1/(7.20) + 1/(20.13)
    = (1/(14.34) +1/(34.20)) + (1/(46.26) + 1/(20.46))+(1/(7.20)+1/(20.13))
    = 1/34 . (1/14 + 1/20) + 1/46 . (1/26 + 1/20) + 1/20 . (1/7 + 1/13)
    = 1/34 . 34/(14.20) + 1/46 . 46/(26.20)+1/20 . 20/(7.13)
    = 1/(14.20) + 1/(26.20) + 1/(7.13)
    = 1/20 . 40/(14.26) + 1/91
    = 2/40 . 40/(14.26) + 1/91
    = 2/(14.26)+1/91
    = 1/182 + 1/91
    = 1/2 . 1/91 + 1/91
    = 1/91 . (1/2+1)
    = 1/91 . 3/2
    = 3/182
     

  2. 1/14.34 + 1/34.20 + 1/46.26 + 1/20.46 + 1/7.20 + 1/20.13
    = (1/14.34 + 1/34.20) + (1/46.26 + 1/20.46) + (1/7.20 + 1/20.13)
    = (20/14.34.20 + 14/14.34.20) + (20/46.20.26 + 26/46.20.26) + (13/20.7.13 + 7/20.7.13)
    = 34/14.34.20 + 46/46.20.26 + 20/20.7.13
    = 1/14.20 + 1/20.26 + 1/7.13 
    = 26/14.20.26 + 14/14.20.26 + 1/7.13
    = 40/14.20.26 + 1/7.13
    = 2/14.26 + 1/7.13
    = 2/364 + 1/91
    = 2/364 + 4/364
    = 6/364 = 3/182
    /học tốt/
     

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

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