To solve the expression \((36/3 \times (8-6))/6\), we should follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Parentheses/Brackets**:  
   Calculate inside the parentheses:  
   \[
   8 - 6 = 2
   \]

2. **Substitute the result back into the expression**:  
   \[
   (36/3 \times 2)/6
   \]

3. **Division and Multiplication** (from left to right):  
   Start with division:  
   \[
   36/3 = 12
   \]  

   Now, multiply by 2:  
   \[
   12 \times 2 = 24
   \]

4. **Final Division**:  
   \[
   24/6 = 4
   \]

### Final Answer:
\[
\boxed{4}
\]

Would you like more details or have any questions?

### Related Questions:

1. How do we prioritize operations when dealing with multiple parentheses?
2. What happens if we change the order of operations in a given expression?
3. Can you explain more about the PEMDAS/BODMAS rule?
4. How would the result change if we used exponents in the expression?
5. What are some examples of more complex expressions involving all types of operations?

**Tip:** Always simplify expressions inside parentheses or brackets first before proceeding with other operations!

Understand how to solve the arithmetic expression (36/3*(8-6))/6 by applying the order of operations (PEMDAS/BODMAS). This step-by-step solution covers key arithmetic concepts, suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation