Multiply $ \dfrac{2}{m^2} $ by $ p $ to get $ \dfrac{ 2p }{ m^2 } $.

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

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

$$ \begin{aligned} \frac{2}{m^2} \cdot p & \xlongequal{\text{Step 1}} \frac{2}{m^2} \cdot \frac{p}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 2 \cdot p }{ m^2 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 2p }{ m^2 } \end{aligned} $$

Add $ \dfrac{2p}{m^2} $ and $ \dfrac{5}{p} $ to get $ \dfrac{ \color{purple}{ 5m^2+2p^2 } }{ m^2p }$.

To add raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $ \color{blue}{ p }$ and the second by $\color{blue}{ m^2 }$.

$$ \begin{aligned} \frac{2p}{m^2} + \frac{5}{p} & = \frac{ 2p \cdot \color{blue}{ p }}{ m^2 \cdot \color{blue}{ p }} + \frac{ 5 \cdot \color{blue}{ m^2 }}{ p \cdot \color{blue}{ m^2 }} = \\[1ex] &=\frac{ \color{purple}{ 2p^2 } }{ m^2p } + \frac{ \color{purple}{ 5m^2 } }{ m^2p }=\frac{ \color{purple}{ 5m^2+2p^2 } }{ m^2p } \end{aligned} $$