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\frac{8}{72}+\frac{9}{72}
Least common multiple of 9 and 8 is 72. Convert \frac{1}{9} and \frac{1}{8} to fractions with denominator 72.
\frac{8+9}{72}
Since \frac{8}{72} and \frac{9}{72} have the same denominator, add them by adding their numerators.
\frac{17}{72}
Add 8 and 9 to get 17.