Evaluate
\frac{3711}{412}-\frac{6185}{412}i\approx 9.007281553-15.012135922i
Real Part
\frac{3711}{412} = 9\frac{3}{412} = 9.007281553398059
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3\times 3+3\times \left(-5i\right)+\frac{3-5i}{412}
Multiply 3 times 3-5i.
9-15i+\frac{3-5i}{412}
Do the multiplications in 3\times 3+3\times \left(-5i\right).
9-15i+\left(\frac{3}{412}-\frac{5}{412}i\right)
Divide 3-5i by 412 to get \frac{3}{412}-\frac{5}{412}i.
9+\frac{3}{412}+\left(-15-\frac{5}{412}\right)i
Combine the real and imaginary parts.
\frac{3711}{412}-\frac{6185}{412}i
Do the additions.
Re(3\times 3+3\times \left(-5i\right)+\frac{3-5i}{412})
Multiply 3 times 3-5i.
Re(9-15i+\frac{3-5i}{412})
Do the multiplications in 3\times 3+3\times \left(-5i\right).
Re(9-15i+\left(\frac{3}{412}-\frac{5}{412}i\right))
Divide 3-5i by 412 to get \frac{3}{412}-\frac{5}{412}i.
Re(9+\frac{3}{412}+\left(-15-\frac{5}{412}\right)i)
Combine the real and imaginary parts in 9-15i+\left(\frac{3}{412}-\frac{5}{412}i\right).
Re(\frac{3711}{412}-\frac{6185}{412}i)
Do the additions in 9+\frac{3}{412}+\left(-15-\frac{5}{412}\right)i.
\frac{3711}{412}
The real part of \frac{3711}{412}-\frac{6185}{412}i is \frac{3711}{412}.
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