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\frac{178}{6}-\frac{3}{6}
Least common multiple of 3 and 2 is 6. Convert \frac{89}{3} and \frac{1}{2} to fractions with denominator 6.
\frac{178-3}{6}
Since \frac{178}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{175}{6}
Subtract 3 from 178 to get 175.