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\frac{14}{6}-\frac{21}{6}
Least common multiple of 3 and 2 is 6. Convert \frac{7}{3} and \frac{7}{2} to fractions with denominator 6.
\frac{14-21}{6}
Since \frac{14}{6} and \frac{21}{6} have the same denominator, subtract them by subtracting their numerators.
-\frac{7}{6}
Subtract 21 from 14 to get -7.