Question

three rational numbers that lie between two rational numbers 1/5,2/3

Answer 1

First of all we have to make both numbers equal - 1/5 × 3/3 = 3/15
2/3×5/5 =10/15
Now the numbers are 4/15 , 5/15.

Answer 2

3 rational number between 1/5 and 2/3

LCM: 15  (To make the denominator same)

1/5 = 1/5*3 = 3/15

2/3 = 2/3*5 = 10/15

4/15, 5/15 and 8/15

Therefore 3 rational numbers between 1/5 and 2/5: 4/15, 5/15 and 8/15

(Or any of your choice but lies between 3/15 and 10/15)

Hope it helps :)