Simplify the following fraction to lowest terms.
(A) $\frac{6}{15}$

• A. $\frac{3}{5}$
• B. $\frac{2}{15}$
• C. $\frac{2}{5}$
• D. $\frac{1}{3}$

Answer: (C)

Verified step by step guidance

1. Identify the fraction to simplify: \(\frac{6}{15}\).
2. Find the greatest common divisor (GCD) of the numerator (6) and the denominator (15). To do this, list the factors of each number: factors of 6 are 1, 2, 3, 6; factors of 15 are 1, 3, 5, 15.
3. Determine the largest common factor from the lists, which is 3 in this case.
4. Divide both the numerator and the denominator by the GCD (3): numerator becomes \(\frac{6}{3}\) and denominator becomes \(\frac{15}{3}\).
5. Write the simplified fraction as \(\frac{2}{5}\), which is the fraction in lowest terms.