To find equivalent fractions for \( \frac{12}{20} \), you can either simplify the fraction or multiply both the numerator and the denominator by the same number.

### Method 1: Simplifying the Fraction
First, simplify \( \frac{12}{20} \) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

\[
\frac{12 \div 4}{20 \div 4} = \frac{3}{5}
\]

So, one equivalent fraction is \( \frac{3}{5} \).

### Method 2: Multiplying by the Same Number
You can also create equivalent fractions by multiplying both the numerator and the denominator by the same number. Here are two examples:

1. Multiply by 2:
\[
\frac{12 \times 2}{20 \times 2} = \frac{24}{40}
\]

2. Multiply by 3:
\[
\frac{12 \times 3}{20 \times 3} = \frac{36}{60}
\]

So, two equivalent fractions for \( \frac{12}{20} \) are \( \frac{24}{40} \) and \( \frac{36}{60} \).

Would you like further details or explanations?

### Related Questions:
1. What is the GCD of 12 and 20?
2. How do you simplify a fraction?
3. How do you find equivalent fractions using multiplication?
4. What are some other equivalent fractions for \( \frac{12}{20} \)?
5. What is the process for finding the least common denominator?
6. How do you add fractions with different denominators?
7. How do you subtract fractions with different denominators?
8. What is a real-life application of finding equivalent fractions?

**Tip:** Simplifying fractions before performing operations can make calculations easier and reduce the risk of errors.

Explore how to find equivalent fractions for 12/20 using different methods. Learn about simplifying fractions and multiplying by the same number with detailed examples. Suitable for Grades 4-6.

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