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\frac{\sqrt{3}\sqrt{3}}{2}-\frac{1}{2}
Express \frac{\sqrt{3}}{2}\sqrt{3} as a single fraction.
\frac{\sqrt{3}\sqrt{3}-1}{2}
Since \frac{\sqrt{3}\sqrt{3}}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{3-1}{2}
Do the multiplications in \sqrt{3}\sqrt{3}-1.
\frac{2}{2}
Do the calculations in 3-1.
1
Divide 2 by 2 to get 1.