Respuesta :

It's rational because it is a repeating decimal. 20/6=3.33333333333333...

The given number is a rational number.

Given:

The given number is [tex]\dfrac{20}{6}[/tex].

To find:

Whether the given number is rational or irrational.

Explanation:

Rational number: It can be defined in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p,q[/tex] are integers and [tex]q\neq 0[/tex].

Irrational number: It cannot be defined in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p,q[/tex] are integers and [tex]q\neq 0[/tex].

The given number is in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p=20,q=6[/tex] both non zero integers.

Therefore, the given number is a rational number.

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