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\frac{12}{600}+\frac{5}{600}
Least common multiple of 50 and 120 is 600. Convert \frac{1}{50} and \frac{1}{120} to fractions with denominator 600.
\frac{12+5}{600}
Since \frac{12}{600} and \frac{5}{600} have the same denominator, add them by adding their numerators.
\frac{17}{600}
Add 12 and 5 to get 17.