To find the quotient of 5 and -45, you perform the division:
\[ \frac{5}{-45} = -\frac{1}{9} \]
Now let's analyze the options:
A. The quotient is an integer.
- This is false because \(-\frac{1}{9}\) is not an integer.
B. The quotient is a rational number.
- This is true because \(-\frac{1}{9}\) can be expressed as a fraction of two integers.
C. The quotient is an irrational number.
- This is false because \(-\frac{1}{9}\) is not irrational.
D. The quotient is undefined.
- This is false because division by a non-zero number is defined.
Thus, the correct answer is:
B. The quotient is a rational number.