To solve the expression \(4 + 6 \div 9 - 4\), we need to follow the order of operations (PEMDAS/BODMAS), which dictates the sequence: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

### Step-by-step Solution:

1. **Division first**:
   \[
   6 \div 9 = \frac{6}{9} = \frac{2}{3} \approx 0.67
   \]

2. **Substitute back into the expression**:
   \[
   4 + 0.67 - 4
   \]

3. **Addition and Subtraction from left to right**:
   \[
   4 + 0.67 = 4.67
   \]
   \[
   4.67 - 4 = 0.67
   \]

### Final Answer:
\[
\boxed{0.67}
\]

Would you like more details on this calculation or have any questions?

Here are 5 related questions for further practice:
1. What is the value of \(8 + 5 \div 10 - 2\)?
2. How would you solve \(10 - 4 + 8 \div 2\)?
3. Calculate \(15 \div 3 + 2 \times 5 - 7\).
4. What is \(7 + 6 \times 2 - 3\)?
5. If you have \(12 \div 6 + 5 \times 2\), what is the result?

**Tip:** Always remember to perform multiplication and division before addition and subtraction in mathematical expressions.

Learn how to solve the arithmetic expression 4 + 6 ÷ 9 - 4 by following the order of operations (PEMDAS/BODMAS). This step-by-step guide is suitable for students in Grades 5-7 and explains key mathematical concepts like division, addition, and subtraction.

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