Solve 1/3i

$$\frac { 1 } { 3 i }$$

Evaluate

$$-\frac{1}{3}i\approx -0.333333333i$$

Solution Steps

Multiply both numerator and denominator by imaginary unit i.

$$\frac{i}{3i^{2}}$$

By definition, i^{2} is -1. Calculate the denominator.

$$\frac{i}{-3}$$

Divide i by -3 to get -\frac{1}{3}i.

$$-\frac{1}{3}i$$

Real Part

$$0$$

Solution Steps

Multiply both numerator and denominator of \frac{1}{3i} by imaginary unit i.

$$Re(\frac{i}{3i^{2}})$$

By definition, i^{2} is -1. Calculate the denominator.

$$Re(\frac{i}{-3})$$

Divide i by -3 to get -\frac{1}{3}i.

$$Re(-\frac{1}{3}i)$$

The real part of -\frac{1}{3}i is 0.

$$0$$