Let's simplify the expression \((3 \times \frac{1}{2}(4 \times \frac{1}{2} - 5) + 3)\) step by step to see if it equals \(-1.5\).

### Expression:
\[
(3 \times \frac{1}{2}(4 \times \frac{1}{2} - 5) + 3)
\]

### Step 1: Simplify inside the parentheses
First, calculate the expression inside the parentheses:
\[
4 \times \frac{1}{2} = 2
\]
So, the expression becomes:
\[
2 - 5 = -3
\]

### Step 2: Multiply by \(\frac{1}{2}\) and then by 3
Now multiply by \(\frac{1}{2}\):
\[
\frac{1}{2} \times -3 = -1.5
\]
Next, multiply by 3:
\[
3 \times -1.5 = -4.5
\]

### Step 3: Add 3 to the result
Add 3 to the result:
\[
-4.5 + 3 = -1.5
\]

So, the expression simplifies to \(-1.5\).

Therefore, \((3 \times \frac{1}{2}(4 \times \frac{1}{2} - 5) + 3) = -1.5\).

Would you like further details or have any questions?

Here are 5 questions related to this topic:

1. How do you apply the order of operations in algebraic expressions?
2. Why is it important to simplify expressions step by step?
3. How do parentheses affect the calculation in algebraic expressions?
4. What are common mistakes to avoid when simplifying expressions involving fractions?
5. How can understanding fractions and multiplication help in algebra?

**Tip:** Always follow the order of operations (PEMDAS/BODMAS) carefully, especially when working with parentheses and fractions in expressions.

Learn how to simplify the expression (3 * 1/2(4 * 1/2 - 5) + 3) - 1.5 step by step. This problem involves applying the order of operations and multiplication with fractions. Suitable for students in Grades 7-9.

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