Evaluate
8-\frac{2}{15}i\approx 8-0.133333333i
Real Part
8
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\frac{24\times \frac{10}{3}-\frac{2}{5}i\times \frac{10}{3}}{10}
Multiply 24-\frac{2}{5}i times \frac{10}{3}.
\frac{80-\frac{4}{3}i}{10}
Do the multiplications in 24\times \frac{10}{3}-\frac{2}{5}i\times \frac{10}{3}.
8-\frac{2}{15}i
Divide 80-\frac{4}{3}i by 10 to get 8-\frac{2}{15}i.
Re(\frac{24\times \frac{10}{3}-\frac{2}{5}i\times \frac{10}{3}}{10})
Multiply 24-\frac{2}{5}i times \frac{10}{3}.
Re(\frac{80-\frac{4}{3}i}{10})
Do the multiplications in 24\times \frac{10}{3}-\frac{2}{5}i\times \frac{10}{3}.
Re(8-\frac{2}{15}i)
Divide 80-\frac{4}{3}i by 10 to get 8-\frac{2}{15}i.
8
The real part of 8-\frac{2}{15}i is 8.
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