To solve the expression $\frac{100}{4}(2+3)$, we follow the order of operations (PEMDAS/BODMAS):

1. Parentheses first: Evaluate $2 + 3$: $2 + 3 = 5$

2. Division: Perform the division $\frac{100}{4}$: $\frac{100}{4} = 25$

3. Multiplication: Multiply the result by 5: $25 \times 5 = 125$

So, the final answer is $125$.

Would you like more details or have any questions?

Here are some related questions:

1. What is the correct order of operations for expressions with multiple operators?
2. How does the distribution of multiplication over addition work?
3. How do parentheses change the outcome of a mathematical expression?
4. Can expressions like this one be simplified further before solving?
5. How would the expression change if parentheses were placed differently?

Tip: Always remember the order of operations: Parentheses, Exponents, Multiplication/Division (from left to right), Addition/Subtraction (from left to right).