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\frac{20}{18}+\frac{15}{18}
Least common multiple of 9 and 6 is 18. Convert \frac{10}{9} and \frac{5}{6} to fractions with denominator 18.
\frac{20+15}{18}
Since \frac{20}{18} and \frac{15}{18} have the same denominator, add them by adding their numerators.
\frac{35}{18}
Add 20 and 15 to get 35.