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\frac{9}{270}+\frac{10}{270}
Least common multiple of 30 and 27 is 270. Convert \frac{1}{30} and \frac{1}{27} to fractions with denominator 270.
\frac{9+10}{270}
Since \frac{9}{270} and \frac{10}{270} have the same denominator, add them by adding their numerators.
\frac{19}{270}
Add 9 and 10 to get 19.