A fraction becomes if 2 is added to both numerator and denominator. If 3 is added to both, it becomes . Find the fraction.

Answer and explanation

Correct answer: B.

  1. Step 1: Let fraction be .
  2. Step 2: .
  3. Step 3: .
  4. Step 4: Solving gives , so fraction is .
Answer
.
Why not the others: For , adding 2 gives ; for , adding 2 gives ; and does not satisfy the second condition.

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