Correct Answer - Option 3 :
\(5\frac{1}{2}>4\frac{1}{3}>1\frac{5}{6} > 1\frac{3}{4}\)
Calculation:
\(1\frac{5}{6}\) = 11/6
\(4\frac{1}{3}\) = 13/3
\(5\frac{1}{2}\) = 11/2
\(1\frac{3}{4}\) = 7/4
LCM of 6, 3, 2 and 4 is 12
11/6 × 2/2 = 22/12
13/3 × 4/4 = 52/12
11/2 × 6/6 = 66/12
7/4 × 3/3 = 21/12
⇒ 66/12 > 52/12 > 22/12 > 21/12
⇒ 11/2 >13/3 > 11/6 > 7/4
\(⇒ 5\frac{1}{2}\) > \(4\frac{1}{3}\) >\(1\frac{5}{6}\) > \(1\frac{3}{4}\)
The correct option is 3 i.e. \(5\frac{1}{2}\) > \(4\frac{1}{3}\) > \(1\frac{5}{6}\) > \(1\frac{3}{4}\)