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

• 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 given in the problem, which is \(\frac{6}{15}\).
2. Find the greatest common divisor (GCD) of the numerator (6) and the denominator (15). The GCD is the largest number that divides both 6 and 15 without leaving a remainder.
3. Divide both the numerator and the denominator of the fraction by the GCD to simplify the fraction to its lowest terms. This means calculating \(\frac{6 \div \text{GCD}}{15 \div \text{GCD}}\).
4. Write the simplified fraction after performing the division in step 3. This fraction will be equivalent to the original but in simplest form.
5. Verify the simplified fraction by checking that the numerator and denominator have no common divisors other than 1.