Solve (1/8+1/7i)-(5/6+3/2i)

$$( \frac { 1 } { 8 } + \frac { 1 } { 7 } i ) - ( \frac { 5 } { 6 } + \frac { 3 } { 2 } i )$$

Evaluate

$$-\frac{17}{24}-\frac{19}{14}i\approx -0.708333333-1.357142857i$$

Solution Steps

Subtract \frac{5}{6}+\frac{3}{2}i from \frac{1}{8}+\frac{1}{7}i by subtracting corresponding real and imaginary parts.

$$\frac{1}{8}-\frac{5}{6}+\left(\frac{1}{7}-\frac{3}{2}\right)i$$

Subtract \frac{5}{6} from \frac{1}{8}. Subtract \frac{3}{2} from \frac{1}{7}.

$$-\frac{17}{24}-\frac{19}{14}i$$

Real Part

$$-\frac{17}{24} = -0.7083333333333334$$

Solution Steps

Subtract \frac{5}{6}+\frac{3}{2}i from \frac{1}{8}+\frac{1}{7}i by subtracting corresponding real and imaginary parts.

$$Re(\frac{1}{8}-\frac{5}{6}+\left(\frac{1}{7}-\frac{3}{2}\right)i)$$

Subtract \frac{5}{6} from \frac{1}{8}. Subtract \frac{3}{2} from \frac{1}{7}.

$$Re(-\frac{17}{24}-\frac{19}{14}i)$$

The real part of -\frac{17}{24}-\frac{19}{14}i is -\frac{17}{24}.

$$-\frac{17}{24}$$