Find a rational number that is between 9.5 and 9.7. Explain why it is rational.

Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth

9.6 would be a rational number because it can be written as a fraction 48/5 where 48 and 5 are both rational numbers and 9.6 is a terminating decimal.

15/sqrt2.4 = 9.68 is an irrational number. It does not terminate and it does not repeat. 15 is a rational number but it is divided by an irrational number sqrt2.4 thereby creating another irrational number.