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\frac{1}{45}+\left(5-6i\right)
Reduce the fraction \frac{2}{90} to lowest terms by extracting and canceling out 2.
\frac{1}{45}+5-6i
Combine the real and imaginary parts in numbers \frac{1}{45} and 5-6i.
\frac{226}{45}-6i
Add \frac{1}{45} to 5.
Re(\frac{1}{45}+\left(5-6i\right))
Reduce the fraction \frac{2}{90} to lowest terms by extracting and canceling out 2.
Re(\frac{1}{45}+5-6i)
Combine the real and imaginary parts in numbers \frac{1}{45} and 5-6i.
Re(\frac{226}{45}-6i)
Add \frac{1}{45} to 5.
\frac{226}{45}
The real part of \frac{226}{45}-6i is \frac{226}{45}.