The value of the given expression $8 + \frac{4}{2} \times 3 - \frac{4}{2 \times 2}$ is $13$.

Would you like more details on the steps involved, or do you have any questions?

Here are some related questions:

1. How is the order of operations (PEMDAS) applied to simplify this expression?
2. What role do parentheses play in changing the outcome of similar equations?
3. How does division interact with multiplication when both are present in an expression?
4. What happens to the outcome if the position of multiplication and division is swapped?
5. How do you interpret fractions in expressions like this in algebra?

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (from left to right), Addition/Subtraction) for accurate results in complex calculations.