https://file.aiquickdraw.com/mathbot/file/1727542569403w4e5iix9.jpg

The expression shown in the image is:

\[
(101 + 19) \div 3 \times (81 - 75)
\]

### Step-by-step solution:

1. **Parentheses first**:
   \[
   101 + 19 = 120
   \]
   \[
   81 - 75 = 6
   \]

   Now the expression becomes:
   \[
   120 \div 3 \times 6
   \]

2. **Division**:
   \[
   120 \div 3 = 40
   \]

   Now the expression is:
   \[
   40 \times 6
   \]

3. **Multiplication**:
   \[
   40 \times 6 = 240
   \]

Thus, the value of the expression is **240**.

Would you like any further explanation or have questions about the steps?

### Related questions:
1. How would the result change if you added another number inside the parentheses?
2. Can you calculate \((121 + 19) \div 4 \times (91 - 85)\)?
3. What happens if you change the division to multiplication in the expression?
4. Can you solve \((201 + 19) \div 5 \times (101 - 97)\)?
5. How does the order of operations affect this expression?

### Tip:
Always follow the order of operations (PEMDAS): Parentheses, Exponents, Multiplication/Division (from left to right), and Addition/Subtraction (from left to right).

Learn how to solve the arithmetic expression (101 + 19) ÷ 3 × (81 - 75) using the order of operations (PEMDAS). Follow the step-by-step solution that covers parentheses, division, and multiplication. Suitable for students in Grades 6-8.

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