Yes
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04 = 4 is an integer and not a fraction. However, it can be expressed in rational form as 4/1.
No, it is rational.
It is rational. It is rational. It is rational. It is rational.
"Rational" is an adjective and so there cannot be "a rational" (and certainly not "an rational"). Any answer would depend on whether the question was about a rational number, a rational person, a rational argument or "a rational" combined with some other noun.
It is rational.