Question

find two rational numbers between 2/3 and 4/5​

Answer 1

LCM of 3 and 5 is 15.
2/3 × 5/5 = 10/15
4/6 × 3/3 = 12/15

Since, there is only one rational number between i.e. 11/15 , we will multiply both numerator and denomenator by 2.

10/15 × 2/2 = 20/30
12/15 × 2/2 = 24/30

Thus two rational number between 2/3 and 4/5 are 22/30 and 23/30.
(also 21/30)

Answer 2

2/3and4/5 LCM of 3 and 5 =15

2/3*5/5=10/15

4/5*3/3=12/15

now,write two rational number between10/15 and 12/15

11/15 It is only one

so,

11/15*3/3=33/65

12/15*3/3=36/65

hence the two rational number are 34/65 and 35/65.

This is answer