The numerator and the denominator of a fraction are in the ratio 3: 2. If 3 is added to the 9 numerator and 2 is subtracted from the denominator, a new fraction is formed whose value is Find the original fraction.
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Step-by-step explanation:
let the numerator and denominator be 3x and 2x
fraction = 3x/2x
if 9 is added to denominator and 2 is subtracted from numerator, fraction = 3x+9/2x-2
also fraction = 1/2
3x+9/2x-2=1/2
2(3x+9) = 2x-2
6x +18 = 2x -2
4x = -20
x = -4
numerator = -4×3=-12
denominator = -4×2=-8
fraction = -12/-8= 3/2