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\frac{2\sqrt{3}}{6}-\frac{3}{6}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 2 is 6. Multiply \frac{\sqrt{3}}{3} times \frac{2}{2}. Multiply \frac{1}{2} times \frac{3}{3}.
\frac{2\sqrt{3}-3}{6}
Since \frac{2\sqrt{3}}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.