The expression you provided is:

\[
\frac{1}{5}(x + 9)
\]

This means you are multiplying the fraction \( \frac{1}{5} \) by the sum of \(x + 9\). To simplify this:

\[
\frac{1}{5}(x + 9) = \frac{1}{5} \cdot x + \frac{1}{5} \cdot 9
\]

So, the simplified form is:

\[
\frac{x}{5} + \frac{9}{5}
\]

Would you like further details or clarification?

Here are some related questions:
1. How do you distribute a fraction over addition or subtraction?
2. What happens if you multiply both sides of an equation by a fraction?
3. How can you solve the equation \( \frac{x}{5} + \frac{9}{5} = 0 \)?
4. What is the importance of simplifying expressions before solving them?
5. How do you factor out common terms from an expression?

**Tip**: Always distribute multiplication over terms inside parentheses before simplifying further!

Learn how to simplify the algebraic expression 1/5(x + 9) using the distributive property. This problem covers key algebraic concepts, including distribution and simplification. Suitable for students in Grades 6-8.

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