Question

Find out the value of:

\(\frac{(\frac{1}{2} ÷ \frac{1}{2} of \frac{1}{2})} {(\frac{1}{2} + \frac{1}{2} of \ \frac{1}{2}) } = ?\)

1. \(1{2 \over 3}\)
2. \({1 \over 3}\)
3. \(2{2 \over 3}\)
4. \({2 \over 3}\)

Answer 1

Correct Answer - Option 3 : \(2{2 \over 3}\)

\(\frac{(\frac{1}{2} ÷ \frac{1}{2} of \frac{1}{2})} {(\frac{1}{2} + \frac{1}{2} of \ \frac{1}{2}) } = ?\)

(1/2 ÷ 1/2 of 1/2)/(1/2 + 1/2 of 1/2)  = ?

⇒ (1/2 ÷ 1/2 of 1/2)/​(1/2 + 1/2 of 1/2)  = ?

⇒ (1/2 ÷ 1/2 ×  1/2)/​(1/2 + 1/2 × 1/2)  = ?

⇒ (1/2 ÷ 1/4)/​(1/2 + 1/4)  = ?

⇒ (1/2 ×  4)/​(1/2 + 1/4)  = ?

⇒ (2)/ (3/4)  = ?

⇒ (2 × 4)/(3)  = ?

⇒ 8/3  = ?

⇒ \(2{2 \over 3}\) = ?