no. an integer is a whole, positive number, a rational number can be positive, negative, or a fraction
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Every integer is a rational number.
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.
A rational number is either an integer or a fraction.
Zero is a rational number and an integer.
Every integer (note spelling) is a rational number.