Yes.
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All whole numbers are rational but only certain rational numbers are whole. If the number is both positive and if the rational number simplifies to a number over 1, it is whole. For example 6/2 simplifies to 3 and is thus whole. However, 5/2 is rational but not whole.
Yes. -10 = -10/1 which is of the form of one whole number over another whole number. Rational numbers have the form of one whole number over another whole number. Thus -10 is rational.
Yes. In fact, most factions are rational. For example, 4/5 is rational, 9/234 is rational, 1/998001 is rational, any whole number over a whole number is rational.
Some are, but all are not. 2/1 is rational and whole but 1/2 is rational and not whole. So the answer is a rational number is not necessarily a whole number.
One over six is an integer divided by an integer.That is the definition of a rational number.