Let's solve the expression step by step. The given expression is:

\[
A = 8.4 + 5.2 \times 6 - \frac{(24 \times 95 + 2)}{2} - 1.9 \times 2.8 + 2.72
\]

### Step 1: Multiplications and Divisions
First, handle the multiplication and division:

\[
A = 8.4 + (5.2 \times 6) - \frac{(24 \times 95 + 2)}{2} - (1.9 \times 2.8) + 2.72
\]

1. \( 5.2 \times 6 = 31.2 \)
2. \( 24 \times 95 = 2280 \)
3. \( \frac{2280 + 2}{2} = \frac{2282}{2} = 1141 \)
4. \( 1.9 \times 2.8 = 5.32 \)

Now, substitute these values back into the expression:

\[
A = 8.4 + 31.2 - 1141 - 5.32 + 2.72
\]

### Step 2: Simplify
Now, add and subtract the terms in order:

\[
A = 8.4 + 31.2 - 1141 - 5.32 + 2.72
\]
\[
A = 39.6 - 1141 - 5.32 + 2.72
\]
\[
A = -1101.4 - 5.32 + 2.72
\]
\[
A = -1106.72 + 2.72
\]
\[
A = -1104
\]

Thus, the value of \( A \) is:

\[
A = -1104
\]

Would you like more details or explanations on any part of this solution?

### Related Questions:
1. What is the order of operations in mathematical expressions?
2. How do you handle expressions with multiple arithmetic operations?
3. Can parentheses change the outcome of an expression?
4. How does division by zero affect an equation?
5. How would this expression change if fractions were involved?

**Tip:** Always follow the order of operations (PEMDAS) to ensure accuracy in solving complex expressions.

Learn how to solve the arithmetic expression A = 8.4 + 5.2 × 6 - (24 × 95 + 2) / 2 - 1.9 × 2.8 + 2.72 step-by-step. Understand key concepts such as the order of operations (PEMDAS) and algebraic expressions, suitable for students in Grades 5-7.

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