The given expression is:

\[
\frac{a}{a} + 3 + \frac{5}{a}
\]

### Step-by-Step Simplification:

1. Simplify \(\frac{a}{a}\):
   \[
   \frac{a}{a} = 1 \quad \text{(for } a \neq 0\text{)}
   \]

2. Substitute back into the expression:
   \[
   1 + 3 + \frac{5}{a}
   \]

3. Combine the constants \(1 + 3\):
   \[
   4 + \frac{5}{a}
   \]

### Final Answer:
\[
4 + \frac{5}{a}
\]

Would you like more details on any part of the simplification? Here are some related questions to explore further:

1. What happens if \( a = 0 \) in the original expression?
2. How do you add fractions with different denominators?
3. How do you simplify complex fractions?
4. What are the rules for combining terms with variables and constants?
5. How can you express this result as a single fraction?

**Tip:** When simplifying algebraic expressions, always look for common terms or factors you can combine to make the process easier.

Learn how to simplify the algebraic expression a/a + 3 + 5/a with step-by-step guidance. This problem focuses on simplifying rational expressions and combining constants and variables, suitable for students in Grades 6-8.

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