The expression $\frac{100}{4(2+3)}$ should be calculated with careful attention to the order of operations (PEMDAS/BODMAS).

1. Parentheses: First, solve inside the parentheses: $2 + 3 = 5$

2. Multiplication: Next, multiply 4 by the result from the parentheses: $4 \times 5 = 20$

3. Division: Finally, divide 100 by the result of the multiplication: $\frac{100}{20} = 5$

So, the final result is 5.

Would you like more details or have any other questions?

Here are 5 related questions:

1. How do you handle expressions with multiple parentheses?
2. What are the common mistakes in applying the order of operations?
3. How would you solve $100 \div 4 \times (2+3)$?
4. Can you explain how the distributive property works in expressions like this?
5. What is the difference between $100 \div 4 \times 5$ and $100 \div (4 \times 5)$?

Tip: Always work through mathematical expressions step by step to avoid errors, especially when parentheses are involved.