Simplify the infomotion $$ \frac{12}{504} $$

Question

UpStudy AI · Accepted Answer

It looks like there might have been a small typo in your request. I assume you meant to simplify the **fraction** $$ \frac{12}{504} $$. Let's proceed with simplifying this fraction.

### Step 1: Find the Greatest Common Divisor (GCD)
To simplify a fraction, we need to find the **greatest common divisor (GCD)** of the numerator and the denominator.

- **Numerator (12):**  
  $$ 12 = 2^2 \times 3 $$

- **Denominator (504):**  
  $$ 504 = 2^3 \times 3^2 \times 7 $$

The GCD is the product of the smallest powers of all common prime factors:
- Common prime factors: $$ 2^2 $$ and $$ 3 $$
- So, $$ \text{GCD} = 2^2 \times 3 = 4 \times 3 = 12 $$

### Step 2: Divide Both Numerator and Denominator by the GCD
$$
\frac{12}{504} = \frac{12 \div 12}{504 \div 12} = \frac{1}{42}
$$

### Final Simplified Form
$$
\frac{12}{504} = \frac{1}{42}
$$

**Answer:**  
$$\frac{1}{42}$$
$$\frac{1}{42}$$

Simplify the infomotion

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