The expression \( \frac{a + b}{a + b} \) simplifies as follows:

- If \( a + b \neq 0 \), then the expression simplifies to **1** because any non-zero number divided by itself equals 1.

- If \( a + b = 0 \), then the expression is undefined because division by zero is not allowed.

So, the result depends on the condition of \( a + b \). If \( a + b \neq 0 \), the answer is **1**. Otherwise, it's undefined.

Would you like more details, or do you have any questions?

Here are five related questions to explore:
1. What happens if \( a + b = 0 \) in a more complex expression?
2. How does the value of a fraction change when the numerator and denominator are equal?
3. What is the significance of division by zero in mathematics?
4. Can the simplification \( \frac{x}{x} = 1 \) always be applied?
5. How can we handle undefined expressions in mathematical proofs?

**Tip:** Always check for division by zero before simplifying an expression.

Understand how to simplify the algebraic expression (a + b) / (a + b) and explore the conditions under which the expression equals 1 or becomes undefined. This problem touches on basic algebraic concepts and division rules, suitable for students in Grades 6-8.

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