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\frac{10}{18}-\frac{3}{18}
Least common multiple of 9 and 6 is 18. Convert \frac{5}{9} and \frac{1}{6} to fractions with denominator 18.
\frac{10-3}{18}
Since \frac{10}{18} and \frac{3}{18} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{18}
Subtract 3 from 10 to get 7.