To solve the expression $\frac{100}{4}(2+3)$, follow these steps:

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

2. Now, divide 100 by 4:
   $\frac{100}{4} = 25$.

3. Finally, multiply the result by 5:
   $25 \times 5 = 125$.

Thus, the value of $\frac{100}{4}(2+3)$ is 125.

Would you like further details or explanations?

Here are some related questions:

1. What happens if the order of operations is changed in an expression?
2. How do parentheses affect the calculation of expressions?
3. What are the rules of the order of operations (PEMDAS)?
4. How does division distribute over addition inside parentheses?
5. Can you solve $\frac{100}{4}(x+2)$ for various values of $x$?

Tip: Always solve expressions inside parentheses first before applying other operations.