Let's solve the expression step by step.

Given:
\[
\frac{0.5454}{0.09} \times 66.67\% - \frac{6}{18}
\]

### Step 1: Calculate \( \frac{0.5454}{0.09} \)
\[
\frac{0.5454}{0.09} = 6.06
\]

### Step 2: Convert 66.67% to a decimal and multiply by 6.06
\[
66.67\% = 0.6667
\]
\[
6.06 \times 0.6667 \approx 4.040002
\]

### Step 3: Simplify \( \frac{6}{18} \)
\[
\frac{6}{18} = \frac{1}{3} \approx 0.3333
\]

### Step 4: Subtract \( 0.3333 \) from \( 4.040002 \)
\[
4.040002 - 0.3333 \approx 3.7067
\]

So, the final result is approximately **3.7067**.

Would you like more details or have any questions?

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Here are 8 related questions to consider:

1. How do you convert percentages to decimals?
2. How do you simplify fractions like \(\frac{6}{18}\)?
3. What are the steps to solve a complex arithmetic expression?
4. How can you check the accuracy of your calculations?
5. How do you interpret the significance of each step in a multi-step problem?
6. What are common mistakes when performing operations with percentages?
7. How do you round decimals in intermediate steps?
8. What are practical applications of percentage calculations?

**Tip:** Always perform operations in parentheses or follow the order of operations (PEMDAS) when solving expressions.

Learn how to solve the arithmetic expression involving percentages and fractions step-by-step. This problem covers arithmetic operations with percentages and fractions, suitable for students in Grades 6-8.

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