math

The numerator of a fractionis 5 less than twice the denominator. If the numerator is decreased by 1 and the denominator is increased by 3, the value of the new fraction is 5/4. Find the original fraction.

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asked by amir
  1. old denominator --- D
    old numerator --- 2D-5

    new denomintor D-1
    new denom. 2D-5 + 3

    so (D-1)/(2D-2) = 5/4

    solve

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    posted by Reiny
  2. I seem to be making some silly copying errors tonight

    change to :

    new denomintor D+3
    new numerator 2D-5 - 1

    so (2D-6)/(D+3) = 5/4

    solve

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    posted by Reiny
  3. This is my work:

    D-1 5
    -----= -- Cross multiply you get:
    2D-2 4 10D-10=4D-4
    -4D -4D
    6D-10=-4
    +10+10
    6D=6
    -----
    6 6
    D=1?

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    posted by amir
  4. Oh now I get it. in the last step
    3D=39
    -----
    3 3

    so D=13
    tysm!
    your a genius.

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    posted by amir
  5. THE DENOMINATOR IS 4 MORE THAN ITS NUMERATOR.IT IS DECREASED FROM NUMERATOR AND 2 IS ADDED TO THE DENOMINATOR,THE RESULTING FRACTION IS 3/4.FIND THE ORIGINAL FRACTION.

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    posted by jing

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