https://r2.erweima.ai/mathbot/image/17266807718241tzph63m.jpg

The expression from the image appears to be:

\[
3 \div 5 [6 + 2(15 - 3 \cdot 4)]
\]

Let's solve it step-by-step:

1. Simplify the expression inside the parentheses:
   \[
   15 - 3 \cdot 4 = 15 - 12 = 3
   \]

2. Multiply by 2 outside the parentheses:
   \[
   2 \cdot 3 = 6
   \]

3. Add to the 6 in the brackets:
   \[
   6 + 6 = 12
   \]

4. Multiply the result by \( \frac{1}{5} \) (since \( 3 \div 5 \) is \( \frac{3}{5} \)):
   \[
   \frac{3}{5} \cdot 12 = \frac{36}{5} = 7.2
   \]

The final result is \( 7.2 \).

Would you like more details or have any questions?

Here are five related questions:
1. How do we apply the order of operations in similar expressions?
2. Why do we multiply before adding in the parentheses?
3. What happens if the division were outside the brackets?
4. Can this expression be solved using a different approach?
5. What if there were exponents in the parentheses?

**Tip:** Always simplify the innermost parentheses first when dealing with nested operations.

Learn how to solve the arithmetic expression 3 ÷ 5 [6 + 2(15 - 3 × 4)] step-by-step using BODMAS. This exercise focuses on simplifying expressions inside brackets and applying the correct order of operations. Suitable for students in Grades 6-8.

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