Question

is the quotient of an integer always a rational number?

Answer 1

Hey there!

I'm afraid the question doesn't make sense.
The quotient of an integer and what else?

Was the question supposed to read like this?
`Is the quotient of integers always a rational number?`

The answer would be yes.
We define a rational number to be a number which can be written as a `ratio of integers`.

Example: \(\Large\rm \frac{7}{3}\) is a rational number.
It's two integers being divided. The result is not an integer, but the result IS rational.