In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/qof two integers, with the denominator qnot equal to zero.
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5.46 can be written as e.g. the fraction 546/100 - and it's therefore a rational number.
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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.