Questions: Perform the indicated operation and simplify your answer. 4/19 + 5/19 + 7/19

Solution Steps

To solve the given problem, we need to perform the addition of fractions. Since all the fractions have the same denominator, we can simply add the numerators together and keep the common denominator. After adding the numerators, we simplify the fraction if possible.

We start with the fractions \( \frac{4}{19} \), \( \frac{5}{19} \), and \( \frac{7}{19} \). Since they all have the same denominator, we can add the numerators directly:

\[ 4 + 5 + 7 = 16 \]

After adding the numerators, we form the resulting fraction:

\[ \frac{16}{19} \]

Next, we check if the fraction \( \frac{16}{19} \) can be simplified. The greatest common divisor (gcd) of 16 and 19 is 1, which means the fraction is already in its simplest form.

Final Answer