Add $ \dfrac{1}{00i} $ and $ 17 $ to get $ \dfrac{ \color{purple}{ 1 } }{ 0 }$.

Step 1: Write $ 17 $ 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 $\color{blue}{0}$.

$$ \begin{aligned} \frac{1}{00i} +17 & \xlongequal{\text{Step 1}} \frac{1}{00i} + \frac{17}{\color{red}{1}} = \frac{ 1 }{ 00i } + \frac{ 17 \cdot \color{blue}{ 0 }}{ 1 \cdot \color{blue}{ 0 }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 1 } }{ 00i } + \frac{ \color{purple}{ 0 } }{ 00i }=\frac{ \color{purple}{ 1 } }{ 0 } \end{aligned} $$

Cannot divide by zero.