p/q = f/q- f for f

Discussion in 'Calculator Requests' started by math_celebrity, Jul 14, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    p/q = f/q- f for f

    Isolate f in this literal equation.

    Factor out f on the right side:
    p/q = f(1/q - 1)

    Rewriting the term in parentheses, we get:
    p/q = f(1 - q)/q

    Cross multiply:
    f = pq/q(1 - q)

    Cancelling the q/q on the right side, we get:
    f = p/(1 - q)

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