Respuesta :

rational. irrational numbers are numbers that never end.

Answer:

Rational number

Step-by-step explanation:

We are given that a number 5.75

We have to find that given number is rational or irrational

Rational number : It is that number which can be written as [tex]\frac{p}{q}[/tex]

Where q is not equal to zero and p, q are integers.

Irrational number : It is that number which is not rational .If a number is not rational then the number is called irrational number .

[tex]{5.75}=\frac{575}{100}=\frac{23}{4}[/tex]

When we remove decimal then we write 100 in the denominator because there are  two digits after decimal.

The given number is of the from [tex]\frac{p}{q}[/tex] and 23 and 4 are both integers.

Hence, the number is rational number .