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\frac{9}{6}-\frac{8}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{4}{3} to fractions with denominator 6.
\frac{9-8}{6}
Since \frac{9}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{6}
Subtract 8 from 9 to get 1.