Evaluate
-\frac{9}{4}+\frac{1}{2}i=-2.25+0.5i
Real Part
-\frac{9}{4} = -2\frac{1}{4} = -2.25
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\frac{1}{2}i+\frac{8+1}{2}-\frac{6\times 4+3}{4}
Multiply 4 and 2 to get 8.
\frac{1}{2}i+\frac{9}{2}-\frac{6\times 4+3}{4}
Add 8 and 1 to get 9.
\frac{1}{2}i+\frac{9}{2}-\frac{24+3}{4}
Multiply 6 and 4 to get 24.
\frac{1}{2}i+\frac{9}{2}-\frac{27}{4}
Add 24 and 3 to get 27.
\frac{9}{2}-\frac{27}{4}+\frac{1}{2}i
Combine the real and imaginary parts.
-\frac{9}{4}+\frac{1}{2}i
Add \frac{9}{2} to -\frac{27}{4}.
Re(\frac{1}{2}i+\frac{8+1}{2}-\frac{6\times 4+3}{4})
Multiply 4 and 2 to get 8.
Re(\frac{1}{2}i+\frac{9}{2}-\frac{6\times 4+3}{4})
Add 8 and 1 to get 9.
Re(\frac{1}{2}i+\frac{9}{2}-\frac{24+3}{4})
Multiply 6 and 4 to get 24.
Re(\frac{1}{2}i+\frac{9}{2}-\frac{27}{4})
Add 24 and 3 to get 27.
Re(\frac{9}{2}-\frac{27}{4}+\frac{1}{2}i)
Combine the real and imaginary parts in \frac{1}{2}i+\frac{9}{2}-\frac{27}{4}.
Re(-\frac{9}{4}+\frac{1}{2}i)
Add \frac{9}{2} to -\frac{27}{4}.
-\frac{9}{4}
The real part of -\frac{9}{4}+\frac{1}{2}i is -\frac{9}{4}.
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