Evaluate
-\frac{7}{3}-\frac{4}{3}i\approx -2.333333333-1.333333333i
Real Part
-\frac{7}{3} = -2\frac{1}{3} = -2.3333333333333335
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\frac{\left(4-7i\right)i}{3i^{2}}
Multiply both numerator and denominator by imaginary unit i.
\frac{\left(4-7i\right)i}{-3}
By definition, i^{2} is -1. Calculate the denominator.
\frac{4i-7i^{2}}{-3}
Multiply 4-7i times i.
\frac{4i-7\left(-1\right)}{-3}
By definition, i^{2} is -1.
\frac{7+4i}{-3}
Do the multiplications in 4i-7\left(-1\right). Reorder the terms.
-\frac{7}{3}-\frac{4}{3}i
Divide 7+4i by -3 to get -\frac{7}{3}-\frac{4}{3}i.
Re(\frac{\left(4-7i\right)i}{3i^{2}})
Multiply both numerator and denominator of \frac{4-7i}{3i} by imaginary unit i.
Re(\frac{\left(4-7i\right)i}{-3})
By definition, i^{2} is -1. Calculate the denominator.
Re(\frac{4i-7i^{2}}{-3})
Multiply 4-7i times i.
Re(\frac{4i-7\left(-1\right)}{-3})
By definition, i^{2} is -1.
Re(\frac{7+4i}{-3})
Do the multiplications in 4i-7\left(-1\right). Reorder the terms.
Re(-\frac{7}{3}-\frac{4}{3}i)
Divide 7+4i by -3 to get -\frac{7}{3}-\frac{4}{3}i.
-\frac{7}{3}
The real part of -\frac{7}{3}-\frac{4}{3}i is -\frac{7}{3}.
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