Every whole number can be expressed as the quotient or ratio
of other whole numbers, and whole numbers ARE integers.
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Probably because that's more or less the definition of "rational number": a number that can be expressed as a ratio of integers.
Rational numbers are, by definition, expressible that way.
A number that cannot be expressed as the ratio of two integers is known as an irrational number.
The golden ratio is not a rational number. It cannot be expressed exactly as the quotient of two integers. It can be expressed as the quotient: (1+SQRT5)/2 where SQRT5 menas the square root of 5 (that is not a rational number either and so no quitient involving it is a rational number)
Any number that can be expressed as the ratio of two integers is a rational number.