Questions: Perform the indicated operation. Write the answer in lowest terms. x/(x+13) + 13/(x+13) Choose the correct answer below. A. (x-13)/(x+13) B. (x-13)/(13x) C. 1 D. -1

Solution Steps

To solve the given problem, we need to add the two fractions. Since they have the same denominator, we can simply add the numerators and keep the denominator the same. After that, we simplify the resulting fraction if possible.

1. Add the numerators of the fractions.
2. Keep the common denominator.
3. Simplify the resulting fraction.

Since the fractions \(\frac{x}{x+13}\) and \(\frac{13}{x+13}\) have the same denominator, we can add the numerators directly: \[ \frac{x}{x+13} + \frac{13}{x+13} = \frac{x + 13}{x+13} \]

The fraction \(\frac{x + 13}{x + 13}\) simplifies to 1 because the numerator and the denominator are the same: \[ \frac{x + 13}{x + 13} = 1 \]

Final Answer