Arrange in descending order:

\(1\frac{5}{6}\), \(4\frac{1}{3}\),\(5\frac{1}{2}\), \(1\frac{3}{4}\)

- \(4\frac{1}{3}\) > \(5\frac{1}{2}\)> \(1\frac{5}{6}\) > \(1\frac{3}{4}\)
- \(4\frac{1}{3}\) > \(1\frac{3}{4}\) > \(1\frac{5}{6}\) > \(5\frac{1}{2}\)
- \(5\frac{1}{2}>4\frac{1}{3}>1\frac{5}{6} > 1\frac{3}{4}\)
- \(4\frac{1}{3} > 1\frac{3}{4} > 5\frac{1}{2} >1\frac{5}{6}\)

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. \(5\frac{1}{2}\) > \(4\frac{1}{3}\) > \(1\frac{5}{6}\) > \(1\frac{3}{4}\)

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