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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.

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Q: Why is the quotient of two integers always a rational number?
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Related questions

What is a quotient of two integers that is always a rational number?

It is an incomplete definition of a rational number.


What the number that can be written as a quotient of integers?

It is a rational number.


Is the quotient of two integers is always a rational number (provided the denominator is non-zero)?

Yes it is. That is the definition of rational numebrs.


Is the quotient of two nonzero numbers never a rational number?

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).


What is any number that can be written as the quotient of integers?

a rational number


Is every rational number a real number true or false?

Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.


What is a number written as quotient of two integers where the denominator is not zero?

A rational number


Is the quotient of two nonzero integers a rational number?

Yes.


Is a rational number a real number?

Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers.


What is a number written as a quotient of two integers where denominator its not 0?

It is a rational number.


What is the number written as quotient of two integers where denominator is not zero?

rational number


What is any number that can be written as a quotient of two integers called?

a rational number