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Answer
\( \frac{14}{21} \) simplifies to \( \frac{2}{3} \).
Solution
1. Identify the greatest common divisor (GCD) of the numerator and the denominator.
\( \text{GCD}(14, 21) = 7 \).
2. Divide both the numerator and the denominator by the GCD:
\[
\frac{14 \div 7}{21 \div 7} = \frac{2}{3}
\]
3. The simplified form of \( \frac{14}{21} \) is \( \frac{2}{3} \).
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Simplify this solution Beyond the Answer
To simplify \( \frac{14}{21} \), start by identifying the greatest common divisor (GCD) of 14 and 21, which is 7. Then, divide both the numerator and the denominator by 7. This gives you: \[ \frac{14 \div 7}{21 \div 7} = \frac{2}{3} \] So, the simplified form of \( \frac{14}{21} \) is \( \frac{2}{3} \). When simplifying fractions, it's a good idea to always look for the GCD first. A common mistake is to reduce fractions incorrectly or not fully simplify them at all. Always check if the numerator and denominator can be divided by a number other than 1 to ensure you're getting the simplest form!
