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\frac{35}{63}+\frac{54}{63}
Least common multiple of 9 and 7 is 63. Convert \frac{5}{9} and \frac{6}{7} to fractions with denominator 63.
\frac{35+54}{63}
Since \frac{35}{63} and \frac{54}{63} have the same denominator, add them by adding their numerators.
\frac{89}{63}
Add 35 and 54 to get 89.