i-i=0i

Multiply $ \dfrac{4}{147008443} $ by $ i $ to get $ \dfrac{ 4i }{ 147008443 } $.

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.

$$ \begin{aligned} \frac{4}{147008443} \cdot i & \xlongequal{\text{Step 1}} \frac{4}{147008443} \cdot \frac{i}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 4 \cdot i }{ 147008443 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 4i }{ 147008443 } \end{aligned} $$

Add $ \dfrac{4i}{147008443} $ and $ 54 $ to get $ \dfrac{ \color{purple}{ 4i+7938455922 } }{ 147008443 }$.

Step 1: Write $ 54 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To add raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{147008443}$.

$$ \begin{aligned} \frac{4i}{147008443} +54 & \xlongequal{\text{Step 1}} \frac{4i}{147008443} + \frac{54}{\color{red}{1}} = \frac{ 4i }{ 147008443 } + \frac{ 54 \cdot \color{blue}{ 147008443 }}{ 1 \cdot \color{blue}{ 147008443 }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 4i } }{ 147008443 } + \frac{ \color{purple}{ 7938455922 } }{ 147008443 }=\frac{ \color{purple}{ 4i+7938455922 } }{ 147008443 } \end{aligned} $$