Solve 1.6/1.5i

$$\frac { 1.6 } { 1.5 i }$$

Evaluate

$$-\frac{16}{15}i\approx -1.066666667i$$

Solution Steps

Multiply both numerator and denominator by imaginary unit i.

$$\frac{1.6i}{1.5i^{2}}$$

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

$$\frac{1.6i}{-1.5}$$

Divide 1.6i by -1.5 to get -\frac{16}{15}i.

$$-\frac{16}{15}i$$

Real Part

$$0$$

Solution Steps

Multiply both numerator and denominator of \frac{1.6}{1.5i} by imaginary unit i.

$$Re(\frac{1.6i}{1.5i^{2}})$$

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

$$Re(\frac{1.6i}{-1.5})$$

Divide 1.6i by -1.5 to get -\frac{16}{15}i.

$$Re(-\frac{16}{15}i)$$

The real part of -\frac{16}{15}i is 0.

$$0$$