Question

Classify the following numbers as rational or irrational:

$-\frac{2}{3}$

Answer 1

Step : Checking whether the given number is rational or irrational

Rational numbers:

A rational number is a number that is of the form $\frac{p}{q}$ where $p$ and $q$ are integers and $q$≠$0.$

Irrational number:

An Irrational numbers is a number that cannot be expressed as $\frac{p}{q}$ form where $p,q$ are integers and $q$≠$0$ and they have a non-terminating and a non-recurring decimal expansion.

Explanation:

The given number is $-\frac{2}{3}$

we can write $-\frac{2}{3}$ as $\frac{p}{q}$ form.

Where, $p=-2,q=3\ne 0$.

Also $-2and3$ are integers.

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

Conclusion:

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