To solve the expression \(3 \times 3 + \frac{3}{3} + 3 + 3\), we follow the order of operations (PEMDAS/BODMAS):

1. **Parentheses/Brackets**: There are no parentheses or brackets to consider.
2. **Exponents/Orders**: There are no exponents or orders to consider.
3. **Multiplication and Division**: From left to right.
4. **Addition and Subtraction**: From left to right.

Let's solve it step-by-step:

1. **Multiplication**: \(3 \times 3 = 9\)
2. **Division**: \(\frac{3}{3} = 1\)

Now, substitute these values back into the expression:
\[9 + 1 + 3 + 3\]

3. **Addition**:
   - \(9 + 1 = 10\)
   - \(10 + 3 = 13\)
   - \(13 + 3 = 16\)

So, the value of the expression \(3 \times 3 + \frac{3}{3} + 3 + 3\) is \(\boxed{16}\).

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How does the order of operations affect mathematical expressions?
2. What is the difference between PEMDAS and BODMAS?
3. Can you explain how to solve expressions with nested parentheses?
4. How do exponents and roots fit into the order of operations?
5. What happens if the order of operations is not followed correctly?
6. Can you provide more examples of expressions involving all operations?
7. How do you handle complex expressions with multiple operations and parentheses?
8. Can you show how the distributive property works with expressions like these?

**Tip:** Always remember to follow the order of operations (PEMDAS/BODMAS) to ensure that you solve expressions correctly.

Learn how to solve the mathematical expression 3 times 3 plus 3 divided by 3 plus 3 plus 3 using the correct order of operations. This problem involves basic arithmetic operations like multiplication, division, and addition. Suitable for students in Grades 5-6.

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