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16 March, 10:26

The ratio of the numerator to the denominator of a certain fraction is five to eight. If five is subtracted from the numerator and four is added to the denominator, the new fraction reduces to one-half. What is the original fraction?

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Answers (2)
  1. 16 March, 10:41
    0
    35/56.

    Step-by-step explanation

    We can write the original fraction as 5x / 8x where x is some integer so our new fraction would be 5x - 5 / 8x + 4 and this equals 1/2. So we have the equation:

    (5x - 5) / (8x + 4) = 1/2

    10x - 10 = 8x + 4

    2x = 14

    x = 7

    So the original fraction is 5 (7) / 8 (7)

    = 35/56.

    = 7/8

    = 30/44
  2. 16 March, 10:47
    0
    5x-5/8x+4=1/2

    On cross multiplying

    2 (5x-5) = 8x+4

    10x-10=8x+4

    10x-8x=4+10

    2x=14

    Therefore x=7

    The original fraction=35/56
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