0.333. is a rational number for it may be found as the ratio of two numbers. In this case, 1/3. (note the superscript . indicating a repeating decimal. )
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As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.
Yes.
Yes, but only if the rational number is 0.
Only if the rational number is 0.
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.