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\frac{28}{18}-\frac{15}{18}
Least common multiple of 9 and 6 is 18. Convert \frac{14}{9} and \frac{5}{6} to fractions with denominator 18.
\frac{28-15}{18}
Since \frac{28}{18} and \frac{15}{18} have the same denominator, subtract them by subtracting their numerators.
\frac{13}{18}
Subtract 15 from 28 to get 13.