https://r2.erweima.ai/mathbot/image/17259029675307wnehijy.jpg

Let's analyze the mathematical expression in the image and solve for \( x \).

The expression for \( x \) is:

\[
x = \frac{0.04\% \times 0.06\%}{0.2\% \times 0.4\% \times 0.8\%}
\]

### Step 1: Convert percentages to decimals
Recall that \( 1\% = 0.01 \). Therefore:

- \( 0.04\% = 0.0004 \)
- \( 0.06\% = 0.0006 \)
- \( 0.2\% = 0.002 \)
- \( 0.4\% = 0.004 \)
- \( 0.8\% = 0.008 \)

### Step 2: Substitute these values into the expression for \( x \)

\[
x = \frac{0.0004 \times 0.0006}{0.002 \times 0.004 \times 0.008}
\]

### Step 3: Calculate the numerator

\[
0.0004 \times 0.0006 = 0.00000024
\]

### Step 4: Calculate the denominator

\[
0.002 \times 0.004 = 0.000008
\]
\[
0.000008 \times 0.008 = 0.000000064
\]

### Step 5: Divide the numerator by the denominator

\[
x = \frac{0.00000024}{0.000000064} = 3.75
\]

### Conclusion
The correct value of \( x \) is \( 3.75 \).

---

Would you like further details or clarifications? Here are some follow-up questions for more practice:

1. How do you convert percentages to decimals?
2. Can you solve for \( x \) if the numerator and denominator were different percentages?
3. What happens if one of the percentage values in the denominator was increased?
4. How would you handle solving for \( x \) if the expression were more complex?
5. Can you simplify the process of multiplying small decimals?

**Tip**: When working with small percentages, converting them to decimals right away simplifies the arithmetic and avoids confusion!

Determine the value of x from the given mathematical expression: x = (0.04% × 0.06%) / (0.2% × 0.4% × 0.8%).

Learn how to solve a percentage-based division expression where x = (0.04% × 0.06%) / (0.2% × 0.4% × 0.8%). This step-by-step solution involves converting percentages to decimals, performing multiplication and division, and is suitable for students in Grades 6-8.

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