三分之一+六分之一+十二分之一+四十八分之一+九十六分之一+一百九十二

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  • 题上少个1/24

    三分之一+六分之一+十二分之一+1/24+四十八分之一+九十六分之一+一百九十二

    =1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/192-1/192

    =(1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/192)-1/192

    =(1/3+1/6+1/12+1/24+1/48+1/96+1/96)-1/192

    =(1/3+1/6+1/12+1/24+1/48+1/48)-1/192

    =(1/3+1/6+1/12+1/24+1/24)-1/192

    =(1/3+1/6+1/12+1/12)-1/192

    =(1/3+1/6+1/6)-1/192

    =(1/3+1/3)-1/192

    =2/3-1/192

    =128/192-1/192

    =127/192