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The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are increased by six, the simplified result is 7/13. Find the original fraction

  • Math -

    original fraction: n/(2n+4)

    modified fraction:
    (n+6)/(2n+4+6) = 7/13
    13(n+6) = 7(2n+10)
    13n+78 = 14n+70
    -n = -8
    n=8

    So, the original fraction was 8/20
    and the new value is 14/26 = 7/13

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