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

• 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 that needs to be simplified, 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 by the GCD to reduce 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 the previous step.
5. If the fraction is part of an expression like \((A) \frac{6}{15}\), multiply the simplified fraction by \(A\) to express the entire term in its simplest form.