Question
Answer
$$\dfrac{4}{3}i=\dfrac{4i}{3}$$
Explanation
| $$ \begin{aligned}\frac{4}{3}i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{4i}{3}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{4}{3} $ by $ i $ to get $ \dfrac{ 4i }{ 3 } $. Step 1: Write $ i $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{4}{3} \cdot i & \xlongequal{\text{Step 1}} \frac{4}{3} \cdot \frac{i}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 4 \cdot i }{ 3 \cdot 1 } \xlongequal{\text{Step 3}} \frac{ 4i }{ 3 } \end{aligned} $$ |
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