Question

Find 10 rational numbers between 2/5 and 3/2

Answer 1

`(2)/(5) \: \: and \: \: (3)/(2)`

L.C.M. of 5 and 2 = 10

`(2 * 2)/(5 * 2) = (4)/(10) \\ \\ (3 * 5)/(2 * 5) = (15)/(10)`

`(5)/(10) , (6)/(10) , (7)/(10) , (8)/(10) , (9)/(10), (10)/(10) , (11)/(10) , (12)/(10) , (13)/(10) , (14)/(10)`

The 10 rationals numbers are :

`(1)/(2) , (3)/(5) , (7)/(10) , (4)/(5) , (9)/(10) , (1)/(1), (11)/(10) , (6)/(5) , (13)/(10) , (7)/(5) .`