To simplify the expression \(\frac{9x + 3y}{3}\):

1. **Distribute the division across the terms in the numerator:**
   \[
   \frac{9x}{3} + \frac{3y}{3}
   \]

2. **Simplify each term:**
   \[
   \frac{9x}{3} = 3x
   \]
   \[
   \frac{3y}{3} = y
   \]

3. **Combine the simplified terms:**
   \[
   3x + y
   \]

So, the simplified form of the expression is \( \boxed{3x + y} \).

Would you like more details or have any questions about this? Here are 5 related questions:

1. How would you simplify the expression \(\frac{12x + 6y}{6}\)?
2. What is the simplified form of \(\frac{15x - 9y}{3}\)?
3. How does distributing the division work when there are more terms in the numerator?
4. Can you simplify \(\frac{18x + 9y + 3z}{3}\) in a similar way?
5. What is the difference between distributing a division over addition and over subtraction?

**Tip:** When simplifying expressions with a common denominator, distribute the division across each term in the numerator.

Learn how to simplify the expression (9x + 3y) / 3 with a detailed step-by-step solution. This problem covers key algebraic concepts, including division of polynomials and simplification techniques. Suitable for students in Grades 7-9.

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