Simplify the following fraction to lowest terms.
$\left(C\right)\frac{28}{56}$

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

Answer: (B)

Verified step by step guidance

1. Identify the fraction given in the problem, which is \(\frac{28}{56}\), and note that it is multiplied by \(C\), so the expression is \(C \times \frac{28}{56}\).
2. Find the greatest common divisor (GCD) of the numerator (28) and the denominator (56) to simplify the fraction. The GCD is the largest number that divides both 28 and 56 without leaving a remainder.
3. Divide both the numerator and the denominator of the fraction by the GCD to reduce the fraction to its lowest terms. This means calculating \(\frac{28 \div \text{GCD}}{56 \div \text{GCD}}\).
4. Rewrite the simplified fraction and multiply it by \(C\) to express the simplified form of the original expression.
5. Check the simplified fraction against the provided answer choices to confirm which one matches the simplified fraction (e.g., \(\frac{1}{2}\), \(\frac{1}{3}\), or \(\frac{2}{3}\)).