The given expression is:

\[
\frac{100}{4(2 + 3)}
\]

First, simplify the expression inside the parentheses:

\[
2 + 3 = 5
\]

Now, substitute this back into the expression:

\[
\frac{100}{4 \times 5}
\]

Multiply \(4 \times 5\):

\[
4 \times 5 = 20
\]

Finally, divide 100 by 20:

\[
\frac{100}{20} = 5
\]

Thus, the value of the expression is:

\[
5
\]

Would you like a further breakdown of this, or do you have any other questions?

Here are 5 related questions:
1. What is the result of \( \frac{200}{5(3 + 2)} \)?
2. How would you solve \( 3 \times (4 + 2) \)?
3. What is the value of \( \frac{80}{4(2+3)} \)?
4. How can you simplify \( \frac{150}{6(3+2)} \)?
5. What are the steps to calculate \( \frac{60}{3(5+5)} \)?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to solve expressions correctly.

Discover how to solve the expression 100 divided by 4(2+3) using the order of operations (PEMDAS). This step-by-step solution simplifies the arithmetic problem by solving inside the parentheses first, then multiplying, and finally dividing. Ideal for students in Grades 5-7.

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