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

Toán Lớp 7: Tính: 4/3 + 7/6 + 11/10 + … + 56/55

Toán Lớp 7: Tính:
4/3 + 7/6 + 11/10 + … + 56/55

Comments ( 1 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    4/3+7/6+11/10+16/15+22/21+29/28+37/36+46/45
    (1+1+1+1+1+1+1+1)+(1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45)
    Đặt A = 1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45 Ta có:
    A x 1/2=1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
    1/6=1/2×3=1/2-1/3
    1/12=1/3×4=1/3-1/4
    ……………………
    1/90=1/9×10=1/9-1/10
    A x 1/2=1/2-1/3+1/3-1/4+1/4-1/5+…+1/9-1/10
    A x 1/2=1/2-1/10=4/10
    A=4/10:1/2=4/5
    1+1+1+1+1+1+1+1+4/5=(8+4)/5=44/5

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