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\frac{11}{550}+\frac{5}{550}
Least common multiple of 50 and 110 is 550. Convert \frac{1}{50} and \frac{1}{110} to fractions with denominator 550.
\frac{11+5}{550}
Since \frac{11}{550} and \frac{5}{550} have the same denominator, add them by adding their numerators.
\frac{16}{550}
Add 11 and 5 to get 16.
\frac{8}{275}
Reduce the fraction \frac{16}{550} to lowest terms by extracting and canceling out 2.