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The problem reads:

\[
243 \div 81 \text{ of } 32 \times 128 = ? - \frac{7}{3}
\]

We need to solve this step-by-step. Let's break it down.

### Step 1: Simplify the left-hand side.
- "of" typically means multiplication in such cases. Thus, we handle \( 81 \times 32 \) first, then divide 243 by the result.

### Step 2: Rearrange the equation for the unknown \( ? \):
\[
243 \div (81 \times 32) \times 128 = ? - \frac{7}{3}
\]
After simplifying the left side, solve for \( ? \). Let's calculate this.After solving the equation step-by-step, the unknown \( ? \) is:

\[
? = 14 + \frac{1}{3}
\]

Thus, the closest answer is \( \frac{43}{3} \), which corresponds to option **d)**.

Would you like a detailed explanation or any further assistance?

Here are 5 related questions:
1. How do we interpret the word "of" in mathematical problems like this?
2. What is the correct order of operations in mixed arithmetic problems?
3. How can we simplify expressions involving division and multiplication?
4. What other methods can be used to simplify such equations more quickly?
5. How do we manage fractions when solving linear equations?

**Tip:** Always be careful with words like "of" in arithmetic, as they often imply multiplication.

Learn how to solve the equation 243 ÷ 81 of 32 x 128 - 7/3 with a detailed step-by-step solution. This problem covers key algebraic concepts like division, multiplication, and order of operations. Suitable for students in Grades 8-10.

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