n + n/2 + n/4 + n/8 + n/16 = 19,375

Discussion in 'Calculator Requests' started by math_celebrity, Jan 13, 2023.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    n + n/2 + n/4 + n/8 + n/16 = 19,375

    Convert to like fractions with a denominator of 16:
    16n/16 + 8n/16 + 4n/16 + +2n/16 + n/16 = 19,375
    31n/16 = 19,375

    Cross multiply:
    31n = 19,375 * 16
    31n = 310000

    Divide each side by 1:
    31n/31 = 310000/31
    n = 10,000
     

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