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\frac{32}{6}-\frac{75}{6}
Least common multiple of 3 and 2 is 6. Convert \frac{16}{3} and \frac{25}{2} to fractions with denominator 6.
\frac{32-75}{6}
Since \frac{32}{6} and \frac{75}{6} have the same denominator, subtract them by subtracting their numerators.
-\frac{43}{6}
Subtract 75 from 32 to get -43.