SOLUTION: What number was subtracted from both the numerator and the denominator of the fraction 9/12 to make a fraction equal to 1/3? My work: 9/12 and 4/12 (1/3 * 4)

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: What number was subtracted from both the numerator and the denominator of the fraction 9/12 to make a fraction equal to 1/3? My work: 9/12 and 4/12 (1/3 * 4)      Log On


   



Question 411413: What number was subtracted from both the numerator and the denominator of the fraction 9/12 to make a fraction equal to 1/3?
My work: 9/12 and 4/12 (1/3 * 4)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What number was subtracted from both the numerator and the denominator of the fraction 9/12 to make a fraction equal to 1/3?
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Let the number subtracted be "x".
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Solve:
(9-x)/(12-x) = 1/3
Cross multiply and solve for "x":
3(9-x) = 12-x
27-3x = 12-x
2x = 15
x = 7.5
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Cheers,
Stan H.