A rational number is one that can be written as a ratio of two integers. In this case the number 3.3333 can be written as the ratio:
33333/10000
If the intent was to write 3.3333... with the 3's repeating infinitely, it would be equivalent to 3 1/3 or 10/3.
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Yes.
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It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Yes. Any rational number divided by another rational number is also rational.