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\frac{35}{18}-\frac{32}{18}
Least common multiple of 18 and 9 is 18. Convert \frac{35}{18} and \frac{16}{9} to fractions with denominator 18.
\frac{35-32}{18}
Since \frac{35}{18} and \frac{32}{18} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{18}
Subtract 32 from 35 to get 3.
\frac{1}{6}
Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.