# Arrange in descending order: $1\frac{5}{6}$, $4\frac{1}{3}$,$5\frac{1}{2}$, $1\frac{3}{4}$

16 views
in Aptitude
closed

Arrange in descending order:

$1\frac{5}{6}$$4\frac{1}{3}$,$5\frac{1}{2}$$1\frac{3}{4}$

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

by (30.0k points)
selected

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