Let's break down the expression step by step, following the order of operations (PEMDAS/BODMAS):

1. **Parentheses**: First, solve the expression inside the parentheses:
   \[
   6 - 2 = 4
   \]

2. **Division and Multiplication**: Perform the division and multiplication from left to right:
   \[
   \frac{4}{3} \times 9 = \frac{4 \times 9}{3} = \frac{36}{3} = 12
   \]

3. **Multiplication by "of"**: In this context, "of" usually means multiplication. Multiply the result by 4 (the result from the parentheses):
   \[
   12 \times 4 = 48
   \]

4. **Addition**: Finally, add 1 to the result:
   \[
   1 + 48 = 49
   \]

So, the final answer is **49**.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the order of operations in mathematics?
2. How would the expression change if parentheses were placed differently?
3. What is the difference between multiplication by "of" and regular multiplication?
4. How does changing one of the operators affect the final result?
5. Can you solve \( (1 + 4) / 3 \times 9 \) of \( 6-2 \)?

**Tip:** Always solve expressions inside parentheses first before applying other operations.

Understand how to solve the expression 1 + 4 / 3 * 9 of (6-2) by applying the order of operations (PEMDAS/BODMAS). This problem helps reinforce core arithmetic concepts, including parentheses, multiplication, division, and addition, suitable for students in Grades 5-7.

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