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The denominator of a fraction in the simplest form is greater than the numerator by 1. If 4 is added to the numerator, and 3 is subtracted from the denominator, then the fraction itself is increased by 2 1/6 . Find the original fraction.

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8 answers
  1. current fraction = x/(x+1)
    new fraction = (x+4)/(x+1 - 3)
    = (x+4)/(x-2)
    Their difference is 2 1/6 or 13/6
    (x+4)/(x-2) - x/(x+1) = 13/6
    multiply each term by 6(x+1)(x-2), the LCD
    6(x+1)(x+4) - 6x(x-2) = 13(x+1)(x-2)
    6x^2 + 30x + 24 - 6x^2 + 12x = 13x^2 -13x - 26
    13x^2 - 55x - 50 = 0

    solve using your favourite method of solving quadratics
    You will get a whole number and a negative fraction.
    I would just stick with the whole number answer.

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    👤
    Reiny
  2. yes that might work but not rly helpful

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  3. Answer is not right...

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  4. wrong

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  5. Yo all!
    Here is the answer to the question.

    1/6

    You're all welcome

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  6. x/x+1= Original fraction
    x+4/x-2=x/x+1+13/6
    6x/6x+6+13x+13=x-4/x-2
    19x+13/6x+6=x+4/x-2
    (cross multiply)
    6x^2+20x+24=19x^2-25x-26
    55x+50=13x^2
    13x^2-55x-50=0
    x=5
    original fraction=5/6

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  7. Anonymous's answer, 5/6 is the right answer, ignore all of the others

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  8. bro nobdy be writing answers cmon guys

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