Use the distributive property.

Combine like terms

Multiply $ \dfrac{11}{30} $ by $ m $ to get $ \dfrac{ 11m }{ 30 } $.

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

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

$$ \begin{aligned} \frac{11}{30} \cdot m & \xlongequal{\text{Step 1}} \frac{11}{30} \cdot \frac{m}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 11 \cdot m }{ 30 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 11m }{ 30 } \end{aligned} $$

Add $ \dfrac{11m}{30} $ and $ 2m $ to get $ \dfrac{ \color{purple}{ 71m } }{ 30 }$.

Step 1: Write $ 2m $ 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 $\color{blue}{30}$.

$$ \begin{aligned} \frac{11m}{30} +2m & \xlongequal{\text{Step 1}} \frac{11m}{30} + \frac{2m}{\color{red}{1}} = \frac{ 11m }{ 30 } + \frac{ 2m \cdot \color{blue}{ 30 }}{ 1 \cdot \color{blue}{ 30 }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 11m } }{ 30 } + \frac{ \color{purple}{ 60m } }{ 30 }=\frac{ \color{purple}{ 71m } }{ 30 } \end{aligned} $$