Evaluate
-\frac{31}{30}-\frac{2}{5}i\approx -1.033333333-0.4i
Real Part
-\frac{31}{30} = -1\frac{1}{30} = -1.0333333333333334
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\frac{1}{2}-\frac{2}{5}i-\frac{1}{5}-\frac{4}{3}
Divide 2i by 5 to get \frac{2}{5}i.
\frac{1}{2}-\frac{1}{5}-\frac{4}{3}-\frac{2}{5}i
Combine the real and imaginary parts.
-\frac{31}{30}-\frac{2}{5}i
Do the additions.
Re(\frac{1}{2}-\frac{2}{5}i-\frac{1}{5}-\frac{4}{3})
Divide 2i by 5 to get \frac{2}{5}i.
Re(\frac{1}{2}-\frac{1}{5}-\frac{4}{3}-\frac{2}{5}i)
Combine the real and imaginary parts in \frac{1}{2}-\frac{2}{5}i-\frac{1}{5}-\frac{4}{3}.
Re(-\frac{31}{30}-\frac{2}{5}i)
Do the additions in \frac{1}{2}-\frac{1}{5}-\frac{4}{3}-\frac{2}{5}i.
-\frac{31}{30}
The real part of -\frac{31}{30}-\frac{2}{5}i is -\frac{31}{30}.
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