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

Toán Lớp 7: 3×1/1×2-5×1/2×3+7×1/3×4-…+15×1/7×8-17×1/8×9

Toán Lớp 7: 3×1/1×2-5×1/2×3+7×1/3×4-…+15×1/7×8-17×1/8×9

Comments ( 2 )

  1. Giải đáp:
     8/9        
    Lời giải và giải thích chi tiết:
    (3×1)/(1×2) – (5×1)/(2×3) + … + (15 × 1)/(7×8) – (17×1)/(8×9)
    = 3/(1×2) – 5/(2×3) + … + 15/(7×8) – 17/(8×9)
    = (1 + 2)/(1×2) – (2+3)/(2×3) + … + (7+8)/(7×8) – (8+9)/(8×9)
    = 1/(1×2) + 2/(1×2) – 2/(2×3) – 3/(2×3) + … + 7/(7×8) + 8/(7×8) – 8/(8×9) – 9/(8×9)
    = 1  + 1/2 – 1/2 – 1/3 + .. + 1/7 + 1/8 – 1/8 – 1/9
    = 1 + (1/2-1/2) + .. + (1/8-1/8) – 1/9
    = 1 – 1/9
    = 9/9 – 1/9
    = 8/9
     

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

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