WBCS.LIVE practice question

If \frac{2x}{1 + \frac{1}{1 + \frac{x}{1 - x}}} = 1, then the value of X is

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 2
  2. \frac{2}{3}
  3. \frac{1}{3}
  4. \frac{3}{2}

Correct answer and explanation

Correct answer: \frac{2}{3}

Explanation: āœ… Correct Answer: B. \frac{2}{3} šŸ“š Explanation: By simplifying the denominator from the bottom up: (1 + x/(1-x)) becomes 1/(1-x). The next layer becomes (1 + (1-x)), which is (2-x). The final equation is 2x divided by (2-x) equals 1. Solving this gives 2x = 2 - x, so 3x = 2 and x = 2/3. This requires careful step-by-step fraction simplification.