yes
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The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).
If a number can be expressed as the quotient of two numbers (a ÷ b) and b is not zero, then it is a rational number.
Every number can be written as a quotient.Every rational number can be written as a quotient of whole numbers.
No. It's always irrational.
It is an incomplete definition of a rational number.