Simplify the following fraction to lowest terms.
$\frac{3}{7}$

• A. $\frac{1}{7}$
• B. $\frac{7}{3}$
• C. $\frac{2}{7}$
• D. $\frac{3}{7}$

Answer: (D)

Verified step by step guidance

1. Identify the fraction that needs to be simplified. In this case, the fraction is \(\frac{3}{7}\).
2. Check if the numerator (3) and the denominator (7) have any common factors other than 1. This involves finding the greatest common divisor (GCD) of 3 and 7.
3. Since 3 and 7 are both prime numbers and do not share any common factors other than 1, the fraction \(\frac{3}{7}\) is already in its simplest form.
4. Confirm that the fraction cannot be reduced further by verifying that dividing both numerator and denominator by any number other than 1 does not result in whole numbers.
5. Conclude that the simplified form of the fraction is \(\frac{3}{7}\).