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### Question 31:
**Which among the given pairs of fractions are equivalent fractions?**
- A. \( \frac{2}{3}, \frac{3}{2} \)
- B. \( \frac{1}{2}, \frac{3}{2} \)
- C. \( \frac{3}{5}, \frac{6}{10} \)
- D. \( \frac{2}{3}, \frac{2}{5} \)

To find equivalent fractions, they must simplify to the same form.

- Option C: \( \frac{3}{5} \) and \( \frac{6}{10} \). Simplify \( \frac{6}{10} \) by dividing both the numerator and denominator by 2:  
  \( \frac{6}{10} = \frac{3}{5} \).  
  So, these two fractions are equivalent.

Thus, **the correct answer is C**.

### Question 32:
**Which fraction is equivalent to \( \frac{3}{5} \)?**
- A. \( \frac{5}{2} \)
- B. \( \frac{2}{10} \)
- C. \( \frac{9}{15} \)
- D. \( \frac{1}{5} \)

Option C: \( \frac{9}{15} \). Simplify \( \frac{9}{15} \) by dividing both the numerator and denominator by 3:  
\( \frac{9}{15} = \frac{3}{5} \).

Thus, **the correct answer is C**.

### Question 33:
**Which of the following represents an equivalent fraction of \( \frac{6}{9} \)?**
- A. \( \frac{2}{1} \)
- B. \( \frac{4}{2} \)
- C. \( \frac{2}{3} \)
- D. \( \frac{1}{3} \)

Option C: Simplify \( \frac{6}{9} \) by dividing both the numerator and denominator by 3:  
\( \frac{6}{9} = \frac{2}{3} \).

Thus, **the correct answer is C**.

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Would you like more details or have any further questions?

### Related questions:
1. How do you simplify fractions to find equivalents?
2. What is the process to check if two fractions are equivalent?
3. Can all fractions have equivalent forms?
4. How does cross-multiplying help in determining equivalent fractions?
5. How do you convert an improper fraction to a mixed number?

### Tip:
When finding equivalent fractions, multiplying or dividing both the numerator and denominator by the same non-zero number keeps the value of the fraction unchanged.

Which among the given pairs of fractions are equivalent fractions?

Learn how to identify equivalent fractions by simplifying and comparing fractions through multiple-choice problems. Suitable for students in Grades 5-7.

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