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Answer
\( \frac{12}{28} \) simplifies to \( \frac{3}{7} \).
Solution
1. Find the greatest common divisor (GCD) of \(12\) and \(28\).
The GCD is \(4\).
2. Divide both the numerator and the denominator by \(4\):
\[
\frac{12}{28} = \frac{12 \div 4}{28 \div 4} = \frac{3}{7}
\]
Thus, \( \frac{12}{28} \) simplifies to \( \frac{3}{7} \).
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Simplify this solution Beyond the Answer
To simplify \( \frac{12}{28} \), start by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 12 and 28 is 4. Now, divide both the numerator and the denominator by 4: \( \frac{12 \div 4}{28 \div 4} = \frac{3}{7} \). So, \( \frac{12}{28} \) simplifies to \( \frac{3}{7} \). Now that you've simplified, remember that fractions can pop up in all sorts of everyday situations! Whether you're cutting a recipe in half or sharing a pizza, knowing how to simplify fractions makes it easier to understand portions and ratios in real life. Simplifying helps you see the essence of what you're dealing with without the extra noise!
