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

1. Simplify inside the parentheses: $2 + 3 = 5$ The expression now becomes: $\frac{100}{4} \times 5$

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

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

So, the simplified result is $\boxed{125}$.

Would you like more details or have any questions? Here are 5 related questions to explore:

1. How would you simplify $50 \div 2(3 + 7)$?
2. What is the order of operations used in arithmetic expressions?
3. How do you handle expressions with multiple parentheses?
4. What is the difference between division and multiplication in terms of their order?
5. Can you simplify the expression $\frac{200}{8}(4 + 1)$?

Tip: Always perform operations inside parentheses first, then follow the order of operations (PEMDAS/BODMAS).