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Real Part
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\frac{3+i}{3}
Add 1 and 2 to get 3.
1+\frac{1}{3}i
Divide 3+i by 3 to get 1+\frac{1}{3}i.
Re(\frac{3+i}{3})
Add 1 and 2 to get 3.
Re(1+\frac{1}{3}i)
Divide 3+i by 3 to get 1+\frac{1}{3}i.
1
The real part of 1+\frac{1}{3}i is 1.