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\frac{4}{3}-\frac{4}{6}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.
\frac{4}{3}-\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{4-2}{3}
Since \frac{4}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{3}
Subtract 2 from 4 to get 2.