WBCS.LIVE practice question

The simplest value of \frac{1 + \frac{2}{3} \div \frac{3}{4}{\mathrm{of}}\frac{2}{3}}{2 - \frac{3}{4}\mathrm{of}\frac{2}{3} \div \frac{2}{3}}

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

Answer options

  1. 1\frac{13}{15}
  2. 2\frac{13}{15}
  3. \frac{13}{15}
  4. \frac{15}{13}

Correct answer and explanation

Correct answer: 1\frac{13}{15}

Explanation: āœ… Correct Answer: A. 1\frac{13}{15} šŸ“š Explanation: By following the order of operations (BODMAS), the numerator simplifies as: 1 + (2/3 / (3/4 * 2/3)) = 1 + (2/3 / 1/2) = 1 + 1 = 2. Wait, check carefully: 1 + 2/3 / (1/2) = 1 + 4/3 = 7/3. The denominator is 2 - (1/2 / 2/3) = 2 - 3/4 = 5/4. Dividing 7/3 by 5/4 gives 28/15, which is exactly 1 and 13/15.