Question
Answer
$$3\cdot\dfrac{i}{2i}=\dfrac{3}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3 \cdot \frac{i}{2i}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3\cdot\frac{1}{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{3}{2}\end{aligned} $$ | |
| ① | Divide $ \, i \, $ by $ \, 2i \, $ to get $\,\, \dfrac{1}{2} $. ( view steps ) |
| ② | Multiply $3$ by $ \dfrac{1}{2} $ to get $ \dfrac{3}{2} $. Write $ 3 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. $$ \begin{aligned} 3 \cdot \frac{1}{2} = \frac{3}{\color{red}{1}} \cdot \frac{1}{2} = \frac{3}{2} \end{aligned} $$ |
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