Yes - any number that can be expressed as a fraction (or ratio) is a rational number, even if that number is negative. Expressed as a proper fraction in its simplest form, -0.96 is equal to -24/25 or negative twenty-four twenty-fifths.
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Yes.
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.
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Yes. Any rational number divided by another rational number is also rational.