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