Question

Arrange the numbers in ascending order $\frac{5}{4},\frac{2}{3},\frac{6}{8},\frac{8}{5},\frac{9}{2}.$

• A. 2/3 < 6/8 < 5/4 < 8/5 < 9/2
• B. 5/4 < 6/8 < 2/3 < 8/5 < 9/2
• C. 9/2 < 8/5 < 5/4 < 6/8 < 2/3
• D. 9/2 < 2/3 < 5/4 < 8/5 < 6/8

Answer 1

The correct option is A

2/3 < 6/8 < 5/4 < 8/5 < 9/2

L.C.M of numbers $4,3,8,5,2$ is $960$.

Equivalent fractions with the denominator $960$ are

$\frac{5}{4}\times \frac{240}{240}=\frac{1200}{960}$

$\frac{2}{3}\times \frac{320}{320}=\frac{640}{960}$

$\frac{6}{8}\times \frac{120}{120}=\frac{720}{960}$

$\frac{8}{5}\times \frac{192}{192}=\frac{1536}{960}$

$\frac{9}{2}\times \frac{480}{480}=\frac{4320}{960}$

Ascending order: $\frac{2}{3}<\frac{6}{8}<\frac{5}{4}<\frac{8}{5}<\frac{9}{2}$