Let's solve the expression $\frac{100}{4(2+3)}$.

Step-by-Step Solution:

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

2. Next, substitute this into the expression:
   $\frac{100}{4(5)}$

3. Now, perform the multiplication:
   $4 \times 5 = 20$

4. Finally, divide 100 by 20:
   $\frac{100}{20} = 5$

So, the result is 5.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How would the expression change if there was an exponent inside the parentheses?
2. What if you divided 100 by the sum of the entire expression instead of multiplying?
3. How would this problem change if it was written as $100 \div [4(2+3)]$?
4. What happens if you reverse the order of operations in this problem?
5. How would the solution differ if there was a subtraction inside the parentheses?

Tip: Always solve operations inside parentheses first when following the order of operations (PEMDAS).