Solve 4+5i2i-15/4

$$4 + 5 i 2 i - 15 / 4$$

Evaluate

$$-\frac{39}{4}=-9.75$$

Solution Steps

Multiply 5i and 2i to get -10.

$$4-10-\frac{15}{4}$$

Subtract 10 from 4 to get -6.

$$-6-\frac{15}{4}$$

Convert -6 to fraction -\frac{24}{4}.

$$-\frac{24}{4}-\frac{15}{4}$$

Since -\frac{24}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-24-15}{4}$$

Subtract 15 from -24 to get -39.

$$-\frac{39}{4}$$

Real Part

$$-\frac{39}{4} = -9\frac{3}{4} = -9.75$$

Solution Steps

Multiply 5i and 2i to get -10.

$$Re(4-10-\frac{15}{4})$$

Subtract 10 from 4 to get -6.

$$Re(-6-\frac{15}{4})$$

Convert -6 to fraction -\frac{24}{4}.

$$Re(-\frac{24}{4}-\frac{15}{4})$$

Since -\frac{24}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$Re(\frac{-24-15}{4})$$

Subtract 15 from -24 to get -39.

$$Re(-\frac{39}{4})$$

The real part of -\frac{39}{4} is -\frac{39}{4}.

$$-\frac{39}{4}$$