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