The expression \( \frac{6}{2}(2+1) \) can be simplified step by step.

1. First, solve the expression inside the parentheses:
   \[
   2 + 1 = 3
   \]

2. Substitute this back into the expression:
   \[
   \frac{6}{2} \times 3
   \]

3. Now, divide 6 by 2:
   \[
   3 \times 3
   \]

4. Finally, multiply:
   \[
   9
   \]

So, the answer is **9**.

Would you like more details or have any questions? Here are five related questions:

1. What is the order of operations, and why is it important?
2. How does the distributive property apply in algebra?
3. Can you solve \( 8 \div 2(2 + 2) \)?
4. What is the difference between \(\frac{a}{b}c\) and \(\frac{ac}{b}\)?
5. How would you simplify \(\frac{12}{4}(5 + 3)\)?

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

Understand how to solve the arithmetic expression 6/2(2+1) by applying the order of operations. This detailed solution explains each step, including how to handle parentheses and perform division and multiplication correctly. Perfect for students in Grades 6-8.

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