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

1. Parentheses first: Calculate $2 + 3$. $2 + 3 = 5$ So, the expression now becomes: $\frac{100}{4} \times 5$

2. Division next: Divide 100 by 4. $\frac{100}{4} = 25$ Now the expression is: $25 \times 5$

3. Multiplication last: Multiply 25 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. How would you solve $\frac{200}{8}(3+7)$?
2. What is the result of $50/2(1+4)$?
3. How does the order of operations affect the outcome of $10 + 20 \times 3$?
4. Can you evaluate $36/(6 \times (2 + 1))$?
5. What happens if you change the operation from multiplication to addition in the expression $\frac{100}{4}(2+3)$?

Tip: Always follow the order of operations to avoid errors in solving expressions.