Arrange in ascending order 2/3, 5/3 , 6/5

Question

Arrange in ascending order \(\frac{2}{3}\), \(\frac{5}{3}\), \(\frac{6}{5}\)

 2/3, 5/3 , 6/5 

A)   \(\frac{2}{3}\), \(\frac{5}{3}\), \(\frac{6}{5}\)

B)   \(\frac{5}{3}\), \(\frac{2}{3}\), \(\frac{6}{5}\)

C)   \(\frac{2}{3}\), \(\frac{6}{5}\), \(\frac{5}{3}\)

D)   \(\frac{6}{5}\), \(\frac{5}{3}\), \(\frac{2}{3}\)

Answer 1

 C)   \(\frac{2}{3}\), \(\frac{6}{5}\), \(\frac{5}{3}\) 

Given fractions are 2/3, 5/3, 6/5.

LCM of 3, 3 and 5 is 15.

\(\therefore\) Equivalent fractions to given fractions are

2/3 x 5/3, 5/3 x 5/3, 6/5 x3/3

= 10/15, 25/15, 18/15

\(\because\) 10 < 18 < 25

⇒ 10/15 < 18/15 < 25/15

⇒ 2/3 < 6/5 < 5/3 

Answer 2

Correct option is   C)   \(\frac{2}{3}\), \(\frac{6}{5}\), \(\frac{5}{3}\)