Oh, isn't that a lovely question. Well, a rational number is any number that can be expressed as a fraction where the numerator and denominator are both integers. So, yes, 20.5 can be written as 41/2, making it a rational number. Just remember, there are so many beautiful numbers out there, each with its own unique charm.
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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.