Final answer:
The algebraic expression is (3m + 7) / (n - 27).
Step-by-step explanation:
The algebraic expression for the quotient of seven more than three times a number m and the number 27 less than n is:
(3m + 7) / (n - 27)
This expression represents the result of dividing the sum of three times m and 7 by the difference between n and 27.