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\frac{3}{6}-\frac{7}{6}
Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{7}{6} to fractions with denominator 6.
\frac{3-7}{6}
Since \frac{3}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{-4}{6}
Subtract 7 from 3 to get -4.
-\frac{2}{3}
Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.