To simplify the fraction [tex]\(\frac{14}{49}\)[/tex], follow these steps:
1. Identify the numerator and the denominator: - The numerator is 14. - The denominator is 49.
2. Determine the greatest common divisor (GCD) of both the numerator and the denominator. The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder. Here, the GCD of 14 and 49 is 7.
3. Divide both the numerator and the denominator by their GCD: - Simplified numerator: [tex]\(\frac{14}{7} = 2\)[/tex] - Simplified denominator: [tex]\(\frac{49}{7} = 7\)[/tex]
4. Write the fraction using the simplified numbers: - The fraction [tex]\(\frac{14}{49}\)[/tex] simplifies to [tex]\(\frac{2}{7}\)[/tex].
Therefore, the simplified form of the fraction [tex]\(\frac{14}{49}\)[/tex] is [tex]\(\frac{2}{7}\)[/tex].
The correct answer is: C. [tex]\(\frac{2}{7}\)[/tex]
