The expression you have provided is:

\[
\frac{1/x}{x - 3}
\]

We can simplify this step by step:

1. Rewrite the expression \( \frac{1/x}{x - 3} \) as:
   \[
   \frac{1}{x(x - 3)}
   \]

Thus, the simplified form of the expression is:

\[
\frac{1}{x(x - 3)}
\]

Would you like further clarification on any part of the simplification process? Let me know if you have any questions!

Here are 5 related questions you might find useful:
1. How do you simplify a complex fraction?
2. How does dividing by a variable affect an expression?
3. What are the rules for dividing fractions?
4. Can you solve for \( x \) in equations involving fractions?
5. How does factoring help simplify expressions like this?

**Tip**: Always check if you can factor or simplify before performing operations on algebraic fractions.

Understand how to simplify the algebraic expression 1/x divided by (x-3) step by step. This problem involves rational expressions, complex fractions, and their simplification, suitable for students in Grades 8-10.

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