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To solve this question, we need to determine which of the three fractions— \( \frac{2}{3}, \frac{4}{5}, \) and \( \frac{6}{9} \)—are equivalent to each other.

1. **Simplify the fractions**:
   - \( \frac{2}{3} \) is already in its simplest form.
   - \( \frac{4}{5} \) is also in its simplest form.
   - \( \frac{6}{9} \) can be simplified by dividing both the numerator and denominator by 3:
     \[
     \frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}
     \]

2. **Compare the fractions**:
   - \( \frac{6}{9} = \frac{2}{3} \), so \( \frac{2}{3} \) and \( \frac{6}{9} \) are equivalent.
   - \( \frac{4}{5} \) is not equivalent to \( \frac{2}{3} \) or \( \frac{6}{9} \) because they have different values.

**Answer**: The correct option is "2/3 and 6/9."

Would you like further details or have any questions? 

Here are 5 questions to expand on this:

1. What is the process for simplifying fractions in general?
2. How can you determine if two fractions are equivalent without simplifying?
3. What is the decimal value of \( \frac{4}{5} \), and how does it compare to \( \frac{2}{3} \)?
4. Are there any visual methods to check if fractions are equivalent?
5. Why is it important to simplify fractions when comparing them?

**Tip**: Always check if fractions can be simplified before comparing them—it makes the process easier!

Here are three fractions: 2/3, 4/5, and 6/9. Which fractions are equivalent to each other?

Determine which of the fractions 2/3, 4/5, and 6/9 are equivalent. Learn the steps to simplify and compare fractions, including key concepts like GCD and equivalency. Suitable for Grades 5-7.

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