Riješi (1-1/3)(-6/5+3i)

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

Izračunaj

$$-\frac{4}{5}+2i=-0,8+2i$$

Koraci rješenja

Pretvorite 1 u razlomak \frac{3}{3}.

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

Budući da \frac{3}{3} i \frac{1}{3} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

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

Oduzmite 1 od 3 da biste dobili 2.

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

Pomnožite \frac{2}{3} i -\frac{6}{5}+3i.

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

Pomnožite.

$$-\frac{4}{5}+2i$$

Realni dio

$$-\frac{4}{5} = -0,8$$

Koraci rješenja

Pretvorite 1 u razlomak \frac{3}{3}.

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

Budući da \frac{3}{3} i \frac{1}{3} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

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

Oduzmite 1 od 3 da biste dobili 2.

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

Pomnožite \frac{2}{3} i -\frac{6}{5}+3i.

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

Pomnožite izraz \frac{2}{3}\left(-\frac{6}{5}\right)+\frac{2}{3}\times \left(3i\right).

$$Re(-\frac{4}{5}+2i)$$

Realni dio broja -\frac{4}{5}+2i jest -\frac{4}{5}.

$$-\frac{4}{5}$$