Final answer:
None of the choices presented (-14, -41, 63, 20/2) have a quotient that is a rational number but not an integer, as they all simplify to integer values.
Step-by-step explanation:
The student asked which expression has a quotient that is a rational number, but not an integer. A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Not all rational numbers are integers; an integer is a whole number that is not a fraction or decimal. In the choices given:
- A. -14 is an integer.
- B. -41 is also an integer.
- C. 63 is an integer as well.
- D. 20/2 simplifies to 10, which is also an integer.
Since there was no option presenting a fraction with a non-zero numerator and denominator that do not divide evenly (which would result in a rational non-integer), this question may be missing correct options or is a trick question. However, assuming we restrict our choices to these four options, none fit the criteria of being a rational number but not an integer.