Question

find two rational numbers between 1 by 8 and 2 by 9

Answer 1

1/8 and 2/9
Take LCM
9*8=72
Now multiply to get same Denominator
9/72 and 16/72
Now you can take any number between this
like 10/72,11/72,12/72............15/72

Answer 2

0.5(0.125+0.222)=0.173
0.5(0.125+0.173)=0149