The expression \( \frac{2}{\frac{2}{x}} \) can be simplified as follows:

1. Start with the given expression: 
   \[
   \frac{2}{\frac{2}{x}}
   \]

2. Apply the rule for dividing by a fraction: \( \frac{a}{\frac{b}{c}} = \frac{a \times c}{b} \).
   \[
   \frac{2 \times x}{2}
   \]

3. Simplify by canceling the common factor (2) in the numerator and denominator:
   \[
   x
   \]

So, \( \frac{2}{\frac{2}{x}} = x \).

Would you like more details or have any other questions? Here are 5 related questions:

1. What is the result of \( \frac{a}{\frac{b}{c}} \) for any values of \( a \), \( b \), and \( c \)?
2. How do you simplify complex fractions?
3. What are the properties of fractions that help in simplifying expressions?
4. How does canceling common factors work in simplifying fractions?
5. What happens if \( x \) is 0 in the expression \( \frac{2}{\frac{2}{x}} \)?

**Tip:** When dividing by a fraction, it's often easier to multiply by its reciprocal.

Learn how to simplify the mathematical expression 2/(2/x) with a detailed step-by-step solution. This problem covers key concepts in fractional arithmetic and the rule for dividing by a fraction. Suitable for students in Grades 7-9.

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