When the numerator of a fraction is increased by 4, the fraction increases by 2/3...When the numerator of a fraction is increased by 4, the fraction increases by 2/3. What is the denominator of the fraction?I tried,Let the numerator of the fraction be x and the denominator be y.Accordingly, x + 4 y = x y + 2 3 I am not able to find the second equation.

Question

When the numerator of a fraction is increased by 4, the fraction increases by 2/3...When the numerator of a fraction is increased by 4, the fraction increases by 2/3. What is the denominator of the fraction?I tried,Let the numerator of the fraction be x and the denominator be y.Accordingly,            x      +      4        y    =      x    y    +      2    3  I am not able to find the second equation.

Elianna Wilkinson · Accepted Answer

Again, you&#039;ve got a fine start:You wrote:                    (1)                                          x            +            4                    y                =                              x            y                          +                              2            3                              But note that                    (2)                                          x            +            4                    y                =                              x            y                          +                              4            y                              From (1),(2), it must follow that            4      y        =          2      3          ⟺    2  y  =  4  ⋅  3  =  12    ⟺    y  =      12    2    =  6So the denominator, y is 6.

racodelitusmn · Accepted Answer

Given,            n      +      4        d    =      n    d    +      2    3  So,      n    d    +      4    d    =      n    d    +      2    3  Or,      4    d    =      2    3  That, gives us    d  =  6