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Answer
\(\frac{3}{12}\) simplifies to \(\frac{1}{4}\).
Solution
It looks like you have the fraction \( \frac{3}{12} \) and might be looking to simplify it. Let's simplify this fraction step by step.
### Step 1: Identify the Greatest Common Divisor (GCD)
First, find the greatest common divisor (GCD) of the numerator (3) and the denominator (12).
- **Factors of 3:** 1, 3
- **Factors of 12:** 1, 2, 3, 4, 6, 12
The **GCD** of 3 and 12 is **3**.
### Step 2: Divide Both Numerator and Denominator by the GCD
Now, divide both the numerator and the denominator by the GCD to simplify the fraction.
\[
\frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4}
\]
### Simplified Fraction
\[
\frac{3}{12} = \frac{1}{4}
\]
So, the simplified form of \( \frac{3}{12} \) is \( \frac{1}{4} \).
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Simplify this solution Bonus Knowledge
Did you know that the fraction \( \frac{3}{12} \) can be simplified to \( \frac{1}{4} \)? This is achieved by dividing both the numerator (3) and the denominator (12) by their greatest common divisor, which is 3! Simplification helps us understand and work with fractions more easily in mathematics. In real-world scenarios, simplifying fractions is super helpful! For instance, if you're sharing a pizza that's cut into 12 slices and you've eaten 3, knowing that you've consumed \( \frac{1}{4} \) of the pizza makes it much easier to compare how much is left with other food items or to see how many more slices you can eat. 🍕
