$\frac{2}{3 i} \cdot (4 - 5 i) = \frac{- 10 - 8 i}{3}$

Explanation

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$\frac{2}{3 i} \cdot (4 - 5 i) \overset{◯}{1} \frac{- 10 i + 8}{3 i} \overset{◯}{2} \frac{- 10 - 8 i}{3}$
①	Multiply $\frac{2}{3 i}$ by $4 - 5 i$ to get $\frac{- 10 i + 8}{3 i}$ . Step 1: Write $4 - 5 i$ as a fraction by putting $1$ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $\frac{2}{3 i} \cdot 4 - 5 i Step 1 \frac{2}{3 i} \cdot \frac{4 - 5 i}{1} Step 2 \frac{2 \cdot ( 4 - 5 i )}{3 i \cdot 1} = Step 3 \frac{8 - 10 i}{3 i} = \frac{- 10 i + 8}{3 i}$
②	Divide $8 - 10 i$ by $3 i$ to get $\frac{- 10 - 8 i}{3}$ . ( view steps )

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3i2​⋅(4−5i)=3−10−8i​

$\frac{2}{3 i} \cdot (4 - 5 i) = \frac{- 10 - 8 i}{3}$