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\frac{205}{369}+\frac{375}{369}
Least common multiple of 9 and 123 is 369. Convert \frac{5}{9} and \frac{125}{123} to fractions with denominator 369.
\frac{205+375}{369}
Since \frac{205}{369} and \frac{375}{369} have the same denominator, add them by adding their numerators.
\frac{580}{369}
Add 205 and 375 to get 580.