To compare or simplify the fractions \( \frac{5}{9} \), \( \frac{2}{22} \), and \( \frac{15}{33} \), let's simplify each fraction:

1. **Simplify \( \frac{5}{9} \)**:
   - The fraction \( \frac{5}{9} \) is already in its simplest form because 5 and 9 have no common factors other than 1.

2. **Simplify \( \frac{2}{22} \)**:
   - Find the greatest common divisor (GCD) of 2 and 22, which is 2.
   - Simplifying \( \frac{2}{22} \):
     \[
     \frac{2 \div 2}{22 \div 2} = \frac{1}{11}
     \]

3. **Simplify \( \frac{15}{33} \)**:
   - Find the GCD of 15 and 33, which is 3.
   - Simplifying \( \frac{15}{33} \):
     \[
     \frac{15 \div 3}{33 \div 3} = \frac{5}{11}
     \]

The simplified fractions are:

- \( \frac{5}{9} \) (already simplified)
- \( \frac{1}{11} \)
- \( \frac{5}{11} \)

Would you like more details or have any questions?

Here are some related questions you might consider:

1. How do you find the GCD of two numbers?
2. How do you compare fractions with different denominators?
3. What is the process for converting fractions to decimals?
4. How can you add or subtract fractions with unlike denominators?
5. How do you determine if a fraction is already in its simplest form?

**Tip:** When simplifying fractions, always look for the greatest common divisor of the numerator and the denominator to reduce the fraction to its simplest form.

Learn how to simplify fractions 5/9, 2/22, and 15/33 with a detailed step-by-step guide. This problem covers simplifying fractions using the greatest common divisor (GCD) method. Suitable for students in Grades 5-6.

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