To solve the expression $\frac{100}{4}(2+3)$, follow the order of operations, commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Parentheses: Calculate the expression inside the parentheses first. $2 + 3 = 5$

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

3. Multiplication: Finally, 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 5 related questions to explore further:

1. What is the order of operations in mathematical expressions?
2. How would you solve the expression $50/2(3+4)$?
3. What happens if you change the order of operations in a complex expression?
4. How do you handle expressions that include exponents in addition to multiplication and division?
5. Can you solve $\frac{200}{8}(7-3)$ using the same principles?

Tip: Always resolve operations inside parentheses first before handling multiplication, division, or any other operations outside the parentheses.