Question
Answer
$$\dfrac{100}{100}+150i=150i+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{100}{100}+150i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{ 100 : \color{orangered}{ 100 } }{ 100 : \color{orangered}{ 100 }} + 150i \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{1}+150i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}1+150i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}150i+1\end{aligned} $$ | |
| ① | Divide both the top and bottom numbers by $ \color{orangered}{ 100 } $. |
| ② | Remove 1 from denominator. |
| ③ | Combine like terms: $$ 150i+1 = 150i+1 $$ |
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