Divide both the top and bottom numbers by $ \color{orangered}{ 7 } $.

Multiply $ \dfrac{4}{3} $ by $ p $ to get $ \dfrac{ 4p }{ 3 } $.

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.

$$ \begin{aligned} \frac{4}{3} \cdot p & \xlongequal{\text{Step 1}} \frac{4}{3} \cdot \frac{p}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 4 \cdot p }{ 3 \cdot 1 } \xlongequal{\text{Step 3}} \frac{ 4p }{ 3 } \end{aligned} $$

Subtract $ \dfrac{4p}{3} $ from $ 49 $ to get $ \dfrac{ \color{purple}{ -4p+147 } }{ 3 }$.

Step 1: Write $ 49 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $\color{blue}{ 3 }$.

$$ \begin{aligned} 49- \frac{4p}{3} & \xlongequal{\text{Step 1}} \frac{49}{\color{red}{1}} - \frac{4p}{3} = \frac{ 49 \cdot \color{blue}{ 3 }}{ 1 \cdot \color{blue}{ 3 }} - \frac{ 4p }{ 3 } = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 147 } }{ 3 } - \frac{ \color{purple}{ 4p } }{ 3 }=\frac{ \color{purple}{ -4p+147 } }{ 3 } \end{aligned} $$

Add $ \dfrac{-4p+147}{3} $ and $ 7 $ to get $ \dfrac{ \color{purple}{ -4p+168 } }{ 3 }$.

Step 1: Write $ 7 $ 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 $\color{blue}{3}$.

$$ \begin{aligned} \frac{-4p+147}{3} +7 & \xlongequal{\text{Step 1}} \frac{-4p+147}{3} + \frac{7}{\color{red}{1}} = \frac{ -4p+147 }{ 3 } + \frac{ 7 \cdot \color{blue}{ 3 }}{ 1 \cdot \color{blue}{ 3 }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ -4p+147 } }{ 3 } + \frac{ \color{purple}{ 21 } }{ 3 }=\frac{ \color{purple}{ -4p+168 } }{ 3 } \end{aligned} $$