The numerator of a fraction is 2 less than the denominator .If one is added to its denominator it becomes 1/2find the fraction​

The numerator of a fraction is 2 less than the denominator .If one is added to its denominator it becomes 1/2find the fraction​

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2 thoughts on “The numerator of a fraction is 2 less than the denominator .If one is added to its denominator it becomes 1/2find the fraction​”

  1. Answer:

    Let the numerator be x

    Denominator = x+2

    When 1 is added to Denominator:-

    Denominator = x+2+1=x+3

    A.T.Q.

    (x)/(x+3)=1/2

    Cross multiplying

    x+3=2x

    2x-x=3

    x=3

    Original Numerator = x = 3

    Original Denominator = x+2 = 3+2 = 5

    Original fraction = 3/5

    Verification:-

    Fraction = 3/5

    1 is added to the Denominator:-

    3/(5+1) = 1/2

    3/6 = 1/2

    1/2 = 1/2

    Hence verified

    Step-by-step explanation:

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  2. Answer:

    let the denominator be x

    then , numerator – x-2

    A/Q

    denominator = x+1

    x+1 = 1/2

    x = 1/2-1

    x = -1/2

    numerator = -1/2-2

    = -5/2

    then fraction

    -5/2

    _______

    -1/2

    = 5/1 answer

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