No its 2 over 2 thirds divided by 2 thirds over 2

Thank you for the clarification! Now let's solve the expression \( \frac{2}{\frac{2}{3}} \div \frac{\frac{2}{3}}{2} \).

### Step 1: Simplify each part of the expression

1. **First part: \( \frac{2}{\frac{2}{3}} \)**
   - Dividing by a fraction is the same as multiplying by its reciprocal:
   \[
   \frac{2}{\frac{2}{3}} = 2 \times \frac{3}{2} = \frac{6}{2} = 3
   \]

2. **Second part: \( \frac{\frac{2}{3}}{2} \)**
   - Simplify this fraction:
   \[
   \frac{\frac{2}{3}}{2} = \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3}
   \]

### Step 2: Combine the simplified parts

Now, we have:
\[
3 \div \frac{1}{3}
\]

### Step 3: Divide by the fraction
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
3 \times 3 = 9
\]

So, the value of the expression \( \frac{2}{\frac{2}{3}} \div \frac{\frac{2}{3}}{2} \) is **9**.

Would you like further details or have any questions?

Here are five related questions:
1. What is the result of \( \frac{4}{\frac{1}{2}} \div \frac{\frac{3}{4}}{2} \)?
2. How do you simplify complex fractions?
3. Why is dividing by a fraction the same as multiplying by its reciprocal?
4. Can you simplify \( \frac{\frac{3}{5}}{4} \) before performing operations?
5. What happens when you multiply a whole number by a fraction?

**Tip:** When simplifying complex fractions, always remember to flip the divisor and multiply when dividing by another fraction.

Learn how to solve the expression \( \frac{2}{\frac{2}{3}} \div \frac{\frac{2}{3}}{2} \) step-by-step with a detailed explanation. This problem covers fractions and division of fractions, providing clarity on how to simplify and solve such expressions. Suitable for students in Grades 6-8.

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