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No, whole numbers are only a small subset of rational numbers.
Whole numbers ARE rational.
Whole numbers are always rational
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.
Whole numbers are the same as integers. Whole numbers are a proper subset of rational numbers.