Insert a rational number and an irrational number between the following:
$0.15$ and $0.16$

(N/A) rational number is a number that can be expressed in the form $p/q$ where $p$ and $q$ are integers and $q \neq 0$. Any terminating decimal is a rational number.
$1.$ To find a rational number between $0.15$ and $0.16$,we can choose any terminating decimal such as $0.151$. Since $0.15 < 0.151 < 0.16$,$0.151$ is a rational number.
$2.$ An irrational number is a number whose decimal expansion is non-terminating and non-recurring. To find an irrational number between $0.15$ and $0.16$,we can construct a pattern that does not repeat.
$0.15101101110...$ is an irrational number because it is non-terminating and non-recurring,and it lies between $0.15$ and $0.16$.