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\frac{3r}{6r^{4}}+\frac{1}{6r^{4}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2r^{3} and 6r^{4} is 6r^{4}. Multiply \frac{1}{2r^{3}} times \frac{3r}{3r}.
\frac{3r+1}{6r^{4}}
Since \frac{3r}{6r^{4}} and \frac{1}{6r^{4}} have the same denominator, add them by adding their numerators.