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\frac{5}{90}+\frac{6}{90}
Least common multiple of 18 and 15 is 90. Convert \frac{1}{18} and \frac{1}{15} to fractions with denominator 90.
\frac{5+6}{90}
Since \frac{5}{90} and \frac{6}{90} have the same denominator, add them by adding their numerators.
\frac{11}{90}
Add 5 and 6 to get 11.