1. The problem asks for the expression that represents "the sum of 6 and the quotient of 9 and n". 2. "Sum" means addition, and "quotient" means division. 3. So, the phrase translates to: 6 plus (9 divided by n). 4. The correct mathematical expression is therefore: $$6 + \frac{9}{n}$$ 5. Let's analyze the options: - A: $\frac{6 + 9}{n}$ means the sum of 6 and 9 divided by n, which is not the same as the sum of 6 and the quotient of 9 and n. - B: $6 + \frac{9}{n}$ matches exactly the phrase. - C: $\frac{6}{9} + \frac{6}{n}$ is different; it divides 6 by 9 and adds it to 6 divided by n. - D: $\frac{6 + 9}{6 + n}$ divides the sum of 6 and 9 by the sum of 6 and n, which is not correct. 6. Therefore, the correct answer is option B. **Final answer:** B. $6 + \frac{9}{n}$