Question

Arrange the numbers in ascending order $\frac{5}{4},\frac{7}{3},\frac{5}{8},\frac{9}{5},\frac{9}{2}.$

• 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 D

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

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

Equivalent fractions with the denominator 120 are

$\frac{5}{4}\times \frac{30}{30}=\frac{150}{120}$

$\frac{7}{3}\times \frac{40}{40}=\frac{280}{120}$

$\frac{5}{8}\times \frac{15}{15}=\frac{75}{120}$

$\frac{9}{5}\times \frac{24}{24}=\frac{216}{120}$

$\frac{9}{2}\times \frac{60}{60}=\frac{540}{120}$

Ascending order: $\frac{5}{8}<\frac{5}{4}<\frac{9}{5}<\frac{7}{3}<\frac{9}{2}$