Let's solve the expression step by step:

The given expression is:

\[
\frac{\left(\frac{2}{9} \times \frac{9}{2}\right)}{\text{50% of 200}}
\]

### Step 1: Simplify the numerator
\[
\frac{2}{9} \times \frac{9}{2} = \frac{2 \times 9}{9 \times 2} = \frac{18}{18} = 1
\]

### Step 2: Calculate 50% of 200
\[
50\% \text{ of } 200 = \frac{50}{100} \times 200 = 100
\]

### Step 3: Divide the simplified numerator by the denominator
\[
\frac{1}{100} = 0.01
\]

### Final Answer:
\[
\frac{\left(\frac{2}{9} \times \frac{9}{2}\right)}{\text{50% of 200}} = 0.01
\]

Would you like more details or have any questions?

Here are 5 questions to expand your understanding:
1. What happens when multiplying fractions?
2. How do you find percentages of numbers?
3. Can you express 0.01 as a fraction?
4. How can you simplify complex expressions involving fractions?
5. Why does multiplying two fractions like \( \frac{2}{9} \times \frac{9}{2} \) result in 1?

**Tip:** When dividing by a percentage, remember to convert it into a decimal or fraction for easier calculations!

Discover how to solve the fraction and percentage expression (2/9 x 9/2)/(50% of 200) with a clear step-by-step breakdown. Learn key concepts such as multiplying fractions and calculating percentages, suitable for Grades 5-7.

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