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\frac{16}{6}-\frac{9}{6}
Least common multiple of 3 and 2 is 6. Convert \frac{8}{3} and \frac{3}{2} to fractions with denominator 6.
\frac{16-9}{6}
Since \frac{16}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{6}
Subtract 9 from 16 to get 7.