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\frac{\sqrt{5}}{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{5}+3\times 2}{2}
Since \frac{\sqrt{5}}{2} and \frac{3\times 2}{2} have the same denominator, add them by adding their numerators.
\frac{\sqrt{5}+6}{2}
Do the multiplications in \sqrt{5}+3\times 2.