Answer
$\frac{1}{2}$
Work Step by Step
The LCD of the original denominators, 7 and 14, is 14. Therefore, we can rewrite both fractions with a denominator of 14.
$\frac{3}{7}+\frac{1}{14}=\frac{3\times2}{7\times2}+\frac{1}{14}=\frac{6}{14}+\frac{1}{14}=\frac{6+1}{14}=\frac{7}{14}=\frac{1}{2}$