Let's solve the expression \( \frac{2}{2} \div \frac{3}{2} \div \frac{2}{3} \).

We can break this down step by step:

1. **Simplify the first fraction**:
   \[
   \frac{2}{2} = 1
   \]

2. **Simplify the expression**:
   \[
   1 \div \frac{3}{2} \div \frac{2}{3}
   \]

3. **Dividing by a fraction**: Dividing by a fraction is the same as multiplying by its reciprocal. So, we rewrite the division:
   \[
   1 \times \frac{2}{3} \times \frac{3}{2}
   \]

4. **Multiply the fractions**:
   \[
   \frac{2}{3} \times \frac{3}{2} = \frac{2 \times 3}{3 \times 2} = \frac{6}{6} = 1
   \]

So, the value of the expression \( \frac{2}{2} \div \frac{3}{2} \div \frac{2}{3} \) is **1**.

Would you like further details or have any questions?

Here are five related questions:
1. What is the result of \(\frac{3}{4} \div \frac{4}{3} \)?
2. How do you multiply two fractions together?
3. What happens when you divide a fraction by itself?
4. Can you simplify \(\frac{5}{10}\) before performing operations?
5. How does the order of operations affect fraction division?

**Tip:** When dividing by a fraction, always remember to multiply by its reciprocal for easier calculation.

Learn how to solve the division of fractions problem 2/2 ÷ 3/2 ÷ 2/3 step-by-step with detailed explanations. This problem involves fractions and their division, highlighting the multiplication of fractions by their reciprocals for easier calculation. Suitable for students in Grades 5-8.

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