Solve 5/i

$$\frac { 5 } { i }$$

Evaluate

$$-5i$$

Solution Steps

Multiply both numerator and denominator by imaginary unit i.

$$\frac{5i}{1i^{2}}$$

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

$$\frac{5i}{-1}$$

Divide 5i by -1 to get -5i.

$$-5i$$

Real Part

$$0$$

Solution Steps

Multiply both numerator and denominator of \frac{5}{i} by imaginary unit i.

$$Re(\frac{5i}{1i^{2}})$$

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

$$Re(\frac{5i}{-1})$$

Divide 5i by -1 to get -5i.

$$Re(-5i)$$

The real part of -5i is 0.

$$0$$