https://file.aiquickdraw.com/mathbot/file/1728573560552yg60mkvj.jpg

Let's evaluate the given expression step by step.

The expression is:

\[
\frac{4a - b}{4 - b}
\]

We are given that \( a = 3 \) and \( b = 2 \).

Substituting these values into the expression:

\[
\frac{4(3) - 2}{4 - 2}
\]

Simplifying the numerator:

\[
4(3) = 12 \quad \Rightarrow \quad 12 - 2 = 10
\]

Now simplify the denominator:

\[
4 - 2 = 2
\]

So, the expression becomes:

\[
\frac{10}{2} = 5
\]

Thus, the number that belongs in the green box is **5**.

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Would you like further details or have any questions about this solution?

Here are 5 questions to expand your understanding:
1. How does changing the values of \( a \) and \( b \) affect the result?
2. What happens if \( b = 4 \) in this expression?
3. Can you explain the importance of simplifying both the numerator and the denominator separately?
4. How would the result change if the expression were \( \frac{4a + b}{4 - b} \)?
5. How can you generalize this approach for more complex algebraic expressions?

**Tip:** Always simplify expressions step by step to avoid calculation errors, especially when dealing with multiple terms.

Evaluate this expression if a = 3 and b = 2: (4a - b) / (4 - b)

Learn how to evaluate the algebraic expression (4a - b) / (4 - b) when a = 3 and b = 2. This problem involves substitution and simplification, suitable for students in Grades 6-8.

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