Question

find a rational number between 1/9 and 2/9​

Answer 1

a rational number of 1/9 and 2/9 are 3/18

Answer 2

Multiply them by 100 or any other number
1*100/9*100=100/900
2*100/9*100=200/900
So,
101/900 is one of the rational numbers between 1/9 and 2/9