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

Toán Lớp 6: Thực hiện phép tính : 8/9 – 1/72 -1/56 – 1/42 -1/30 -1/26 – 1/12 -1/6 – 1/2

Toán Lớp 6: Thực hiện phép tính :
8/9 – 1/72 -1/56 – 1/42 -1/30 -1/26 – 1/12 -1/6 – 1/2

Comments ( 2 )

  1. 8/9 – 1/72 – 1/56 – 1/42 – 1/30 – 1/26 – 1/12 – 1/6 – 1/2
    = ( 8/9 – 1/72 – 1/56 – 1/42 – 1/30 ) – ( 1/26 + 1/12 + 1/6 + 1/2 )
    = ( {2240 – 35 – 45 – 60 – 84}/2520 ) – ( {6 + 13 + 26 + 78}/156 )
    = 4/5 – 41/52
    = 3/260
    #dtkc

  2. Trường hợp 1
    : Nếu đề là :
    8/9 – 1/72 – 1/56 – 1/42 – 1/30 – 1/26 – 1/12 – 1/6 – 1/2
    Bài làm :
    8/9 – 1/72 – 1/56 – 1/42 – 1/30 – 1/26 – 1/12 – 1/6 – 1/2
     =  ( 8/9 – 1/72 – 1/56 – 1/42 –  1/30) – ( 1/26 + 1/12 + 1/6 + 1/2)
    =(2240/2520 – 35/2520- 45/2520 -60/2520 -84/2520) – (6/156 + 13/156 + 26/156 + 78/156)
    = 4/5 –   41/52
    = 3/260
    Trường hợp 2 :
    Nếu đề là :
    8/9 – 1/72 – 1/56 – 1/42 – 1/30 – 1/20 – 1/12 – 1/6 – 1/2
    Bài làm :
    8/9 – 1/72 – 1/56 – 1/42 – 1/30 – 1/20 – 1/12 – 1/6 – 1/2
    = 8/9 – ( 1/72 + 1/56 + 1/42 + 1/30 + 1/20 + 1/12 + 1/6 + 1/2)
    = 8/9 – ( 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72)
    = 8/9 – ( 1/( 1.2) + 1/( 2.3) +  1/( 3.4) + 1/(4,5) + 1/( 5.6) +  1/( 6.7) + 1/( 7.8) + 1/( 8.9))
    = 8/9 – ( 1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4 + 1/4 – 1/5 + 1/5 – 1/6 +  1/6 – 1/7 + 1/7 – 1/8 + 1/8 – 1/9)
    = 8/9 – ( 1 – 1/9)
    =8/9 – 8/9
    = 0

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