https://file.aiquickdraw.com/mathbot/file/172665111655991hi4pf5.jpg

The expression in the image is:

\[
\left( \frac{200,000}{\frac{5}{100}} \right) \times 100
\]

Let’s simplify this step-by-step.

1. First, simplify the inner fraction:
\[
\frac{5}{100} = 0.05
\]

So the expression becomes:

\[
\left( \frac{200,000}{0.05} \right) \times 100
\]

2. Now divide \( 200,000 \) by \( 0.05 \):
\[
\frac{200,000}{0.05} = 200,000 \times \frac{1}{0.05} = 200,000 \times 20 = 4,000,000
\]

3. Multiply by \( 100 \):
\[
4,000,000 \times 100 = 400,000,000
\]

The final answer is:

\[
\boxed{400,000,000}
\]

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. What happens if the fraction \( \frac{5}{100} \) was \( \frac{10}{100} \) instead?
2. How does changing the multiplication factor (from 100 to 50, for instance) affect the outcome?
3. Can you explain the relationship between fractions and decimals in expressions like this?
4. What would happen if the value inside the parentheses were negative?
5. How can we simplify more complex nested fractions?

**Tip**: When dividing by fractions, you can multiply by the reciprocal to simplify the operation easily!

Learn how to simplify expressions involving fractions and percentages with this step-by-step solution to the problem (200,000 / (5 / 100)) * 100. This problem focuses on division, fractions, and percentage calculations, suitable for students in Grades 8-10.

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