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\frac{\sqrt{11}+3}{2}-\frac{3\times 2}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2}{2}.
\frac{\sqrt{11}+3-3\times 2}{2}
Since \frac{\sqrt{11}+3}{2} and \frac{3\times 2}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{\sqrt{11}+3-6}{2}
Do the multiplications in \sqrt{11}+3-3\times 2.
\frac{\sqrt{11}-3}{2}
Do the calculations in \sqrt{11}+3-6.