The numerator and the denominator of a fraction are in a ratio 3:2.If 3 is added to the numerator and 2 is subtracted from the denominator,a new fraction is formed whose value is 9/4 . Find the original fraction.

1 answer

  1. let the original fraction be 3x/(2x)

    (3x+3)/(2x-2) = 9/4 , where x ≠ 1
    18x-18 = 12x + 12
    6x = 30
    x = 5

    the original fraction is 15/10

    A poorly thought-out question.
    Fractions should be reduced to their lowest terms.
    We would of course reduce our fraction 15/10 to 3/2. In that case the suggested operation results in 6/0, which is undefined

    only if we leave the fraction in its incomplete form is the result valid.
    (15+3)/(10-2) = 18/8 = 9/4

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