Simplify the following fraction to lowest terms.
$\frac{16}{24}$

• A. $\frac{3}{2}$
• B. $\frac{2}{3}$
• C. $\frac{4}{6}$
• D. $\frac{1}{3}$

Answer: (B)

Verified step by step guidance

1. Identify the numerator and denominator of the fraction. Here, the fraction is \(\frac{16}{24}\), where 16 is the numerator and 24 is the denominator.
2. Find the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that divides both 16 and 24 without leaving a remainder.
3. Divide both the numerator and the denominator by the GCD to simplify the fraction. This step reduces the fraction to its lowest terms.
4. Write the simplified fraction as \(\frac{\text{numerator} \div \text{GCD}}{\text{denominator} \div \text{GCD}}\).
5. Verify that the simplified fraction cannot be reduced further by checking if the numerator and denominator share any common divisors other than 1.