Yes.
This is the same as asking for one rational number to be subtracted from another; to do this each rational number is made into an equivalent rational number so that the two rational numbers have the same denominator, and then the numerators are subtracted which gives a rational number which may possibly be simplified.
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Yes. The rational numbers are a closed set with respect to subtraction.
The question cannot be answered because it is nonsensical. The difference between two rational numbers is very very rarely a whole number.
The product of two rational numbers is always a rational number.
Yes.
They are always rational.