Evaluate
-10+\frac{6}{5}i=-10+1.2i
Real Part
-10
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-8+i+\left(-\frac{7}{4}+\frac{7}{10}i\right)+-\frac{1}{4}-\frac{5}{10}i
Divide 5 by 5 to get 1.
i+-\frac{1}{4}-\frac{5}{10}i-8-\frac{7}{4}+\frac{7}{10}i
Combine the real and imaginary parts.
i+-\frac{1}{4}-\frac{5}{10}i-\frac{39}{4}+\frac{7}{10}i
Add -8 to -\frac{7}{4}.
-\frac{1}{4}-\frac{5}{10}i-\frac{39}{4}+\left(1+\frac{7}{10}\right)i
Combine the real and imaginary parts.
-\frac{1}{4}-\frac{5}{10}i-\frac{39}{4}+\frac{17}{10}i
Add 1 to \frac{7}{10}.
-\frac{1}{4}-\frac{1}{2}i-\frac{39}{4}+\frac{17}{10}i
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
-\frac{1}{4}-\frac{39}{4}+\left(-\frac{1}{2}+\frac{17}{10}\right)i
Combine the real and imaginary parts.
-10+\frac{6}{5}i
Do the additions.
Re(-8+i+\left(-\frac{7}{4}+\frac{7}{10}i\right)+-\frac{1}{4}-\frac{5}{10}i)
Divide 5 by 5 to get 1.
Re(i+-\frac{1}{4}-\frac{5}{10}i-8-\frac{7}{4}+\frac{7}{10}i)
Combine the real and imaginary parts in -8+\left(-\frac{7}{4}+\frac{7}{10}i\right).
Re(i+-\frac{1}{4}-\frac{5}{10}i-\frac{39}{4}+\frac{7}{10}i)
Add -8 to -\frac{7}{4}.
Re(-\frac{1}{4}-\frac{5}{10}i-\frac{39}{4}+\left(1+\frac{7}{10}\right)i)
Combine the real and imaginary parts in i-\frac{39}{4}+\frac{7}{10}i.
Re(-\frac{1}{4}-\frac{5}{10}i-\frac{39}{4}+\frac{17}{10}i)
Add 1 to \frac{7}{10}.
Re(-\frac{1}{4}-\frac{1}{2}i-\frac{39}{4}+\frac{17}{10}i)
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
Re(-\frac{1}{4}-\frac{39}{4}+\left(-\frac{1}{2}+\frac{17}{10}\right)i)
Combine the real and imaginary parts in -\frac{1}{4}-\frac{1}{2}i-\frac{39}{4}+\frac{17}{10}i.
Re(-10+\frac{6}{5}i)
Do the additions in -\frac{1}{4}-\frac{39}{4}+\left(-\frac{1}{2}+\frac{17}{10}\right)i.
-10
The real part of -10+\frac{6}{5}i is -10.
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Limits
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