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Let the numerator and denominator be x and y respectively ⇒ x = y + 3 Fraction = x/y ⇒ (y + 3)/y When 5 is added to the numerator and 2 is subtracted from denominator, ⇒ (y + 3 + 5)/(y – 2) = 8/3 ⇒ (y + 8)/(y – 2) = 8/3 ⇒ 3y + 24 = 8y – 16 ⇒ 5y = 40 ⇒ y = 8 Fraction = (8 + 3)/8 ⇒ 11/8 Dividing the original fraction by (11/2), ⇒ (11/8)/(11/2) ⇒ (2/8) ⇒ 1/4
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