Respuesta :
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 .