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  • 能簡算的要簡算 1/30+1/42+1/56+1/72

    能簡算的要簡算 1/30+1/42+1/56+1/72
    能簡算的要簡算
    1/30+1/42+1/56+1/72
    數學人氣:128 ℃時間:2019-12-06 06:18:39
    優(yōu)質解答
    1/(5×6)+1/(6×7)+1/(7×8)+1/(8×9)
    =(1×7)/(5×6×7)+(1×5)/(5×6×7)+(1×9)/(7×8×9)+(1×7)/(7×8×9)
    =7/(5×6×7)+5/(5×6×7)+9/(7×8×9)+7/(7×8×9)
    =(5+7)/(5×6×7)+(7+9)/(7×8×9)
    =12/(5×6×7)+16/(7×8×9)
    =(2×6)/(5×6×7)+(2×8)/(7×8×9)
    =2/(5×7)+2/(7×9)
    =(2×9)/(5×7×9)+(2×5)/(5×7×9)
    =(2×14)/(5×7×9)
    =(2×2×7)/(5×7×9)
    =(2×2)/(5×9)
    =4/45
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