The sum of the numerator and denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes 2/3. The…
The sum of the numerator and denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes 2/3. The fraction is
Show answerHide answer
Correct answer: (C) 3/8
Explanation
Let the fraction be n/d with n + d = 11. (n + 1)/(d − 2) = 2/3 gives 3n + 3 = 2d − 4. Using d = 11 − n: 5n = 15, so n = 3, d = 8, giving 3/8.