Question

Is $\frac{2}{3}$ an irrational number?

Answer 1

Checking if $\frac{2}{3}$ is an irrational number

An irrational number is a real number that cannot be expressed in the form of $\frac{p}{q}$ where $p,q$ are inetegers.

whereas a rational number is a real number which can be expressed in the form of $\frac{p}{q}$ where $p,q$ are integers and $q\ne 0.$

But we can see that $\frac{2}{3}$ is already in the form of $\frac{p}{q}$ where $p,q$ are integers $2,3$ respectively.

Therefore, $\frac{2}{3}$ is a rational number.

Hence, $\frac{2}{3}$ is not an irrational number.