To solve the fractions \( \frac{32}{108} \), \( \frac{12}{32} \), and \( \frac{4}{12} \), we simplify them by finding the greatest common divisor (GCD) of the numerator and denominator for each fraction and then dividing both by that GCD.

1. **Simplifying \( \frac{32}{108} \):**

   - The GCD of 32 and 108 is 4.
   - Simplifying: 
   \[
   \frac{32}{108} = \frac{32 \div 4}{108 \div 4} = \frac{8}{27}
   \]

   So, \( \frac{32}{108} = \frac{8}{27} \).

2. **Simplifying \( \frac{12}{32} \):**

   - The GCD of 12 and 32 is 4.
   - Simplifying: 
   \[
   \frac{12}{32} = \frac{12 \div 4}{32 \div 4} = \frac{3}{8}
   \]

   So, \( \frac{12}{32} = \frac{3}{8} \).

3. **Simplifying \( \frac{4}{12} \):**

   - The GCD of 4 and 12 is 4.
   - Simplifying: 
   \[
   \frac{4}{12} = \frac{4 \div 4}{12 \div 4} = \frac{1}{3}
   \]

   So, \( \frac{4}{12} = \frac{1}{3} \).

### Final Answers:
- \( \frac{32}{108} = \frac{8}{27} \)
- \( \frac{12}{32} = \frac{3}{8} \)
- \( \frac{4}{12} = \frac{1}{3} \)

Would you like any more details or have any other questions?

Here are 5 related questions:
1. How do you find the greatest common divisor (GCD) of two numbers?
2. What is the process for converting an improper fraction to a mixed number?
3. How can you add fractions with different denominators?
4. How do you convert a fraction into a decimal?
5. What are the steps to multiply two fractions together?

**Tip:** When simplifying fractions, always start by finding the GCD of the numerator and the denominator; this will help you simplify the fraction quickly and accurately.

Learn how to simplify fractions 32/108, 12/32, and 4/12 step-by-step with detailed solutions. This problem covers key concepts in fractions, including simplification using the greatest common divisor (GCD). Suitable for students in Grades 5-8.

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