Add $ \dfrac{5}{p} $ and $ \dfrac{6}{p} $ to get $ \dfrac{11}{p} $.

To add expressions with the same denominators, we add the numerators and write the result over the common denominator.

$$ \begin{aligned} \frac{5}{p} + \frac{6}{p} & = \frac{5}{\color{blue}{p}} + \frac{6}{\color{blue}{p}} =\frac{ 5 + 6 }{ \color{blue}{ p }} = \\[1ex] &= \frac{11}{p} \end{aligned} $$

Add $ \dfrac{11}{p} $ and $ 1 $ to get $ \dfrac{ \color{purple}{ p+11 } }{ p }$.

Step 1: Write $ 1 $ 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 $\color{blue}{p}$.

$$ \begin{aligned} \frac{11}{p} +1 & \xlongequal{\text{Step 1}} \frac{11}{p} + \frac{1}{\color{red}{1}} = \frac{ 11 }{ p } + \frac{ 1 \cdot \color{blue}{ p }}{ 1 \cdot \color{blue}{ p }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 11 } }{ p } + \frac{ \color{purple}{ p } }{ p }=\frac{ \color{purple}{ p+11 } }{ p } \end{aligned} $$