So to better understand this question, let us define rational and irrational numbers first. Rational numbers are those numbers that can be written in fractions. On the other hand, irrational numbers are those numbers that cannot be written as fractions and the common example of it is pi. So, the rational number that is between 9.5 and 9.7 would be 9.6. This can be written as 9 and 3/5 or 48/5. And the irrational number would be 9.562359123571283578. Hope this answer helps.