The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction becomes equal to . Find the original fraction.
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Let us consider the denominator as x and numerator as (x-6) By using the formula, Fraction = numerator/denominator = (x-6)/x (x – 6 + 3)/x = 2/3 (x – 3)/x = 2/3 By cross-multiplying 3(x-3) = 2x 3x – 9 = 2x 3x – 2x = 9 x = 9 ∴ The denominator is x = 9, numerator is (x-6) = (9-6) = 3 And the fraction = numerator/denominator = (x-6)/x = 3/9 = 1/3
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