$$ (\frac{1}{4}\cdot\frac{4}{5}-4)^2 = \left( \frac{ 1 }{ 5 }-4 \right) \cdot \left( \frac{ 1 }{ 5 }-4 \right) = \frac{ 1 }{ 25 }-\frac{ 4 }{ 5 }-\frac{ 4 }{ 5 } + 16 $$

Combine like terms

Combine like terms

Multiply $7$ by $ \dfrac{-19}{5} $ to get $ \dfrac{-133}{5} $.

Write $ 7 $ as a fraction by putting $ \color{red}{1} $ in the denominator.

Step 2: Multiply numerators and denominators.

$$ \begin{aligned} 7 \cdot \frac{-19}{5} = \frac{7}{\color{red}{1}} \cdot \frac{-19}{5} = \frac{-133}{5} \end{aligned} $$

Multiply $4$ by $ \dfrac{361}{25} $ to get $ \dfrac{1444}{25} $.

Write $ 4 $ as a fraction by putting $ \color{red}{1} $ in the denominator.

Step 2: Multiply numerators and denominators.

$$ \begin{aligned} 4 \cdot \frac{361}{25} = \frac{4}{\color{red}{1}} \cdot \frac{361}{25} = \frac{1444}{25} \end{aligned} $$

Multiply $7$ by $ \dfrac{-19}{5} $ to get $ \dfrac{-133}{5} $.

Write $ 7 $ as a fraction by putting $ \color{red}{1} $ in the denominator.

Step 2: Multiply numerators and denominators.

$$ \begin{aligned} 7 \cdot \frac{-19}{5} = \frac{7}{\color{red}{1}} \cdot \frac{-19}{5} = \frac{-133}{5} \end{aligned} $$

Add $ \dfrac{1444}{25} $ and $ \dfrac{-133}{5} $ to get $ \dfrac{ \color{purple}{ 779 } }{ 25 }$.

To add fractions they must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{5}$.

$$ \begin{aligned} \frac{1444}{25} + \frac{-133}{5} & = \frac{ 1444 }{ 25 } + \frac{ \left( -133 \right) \cdot \color{blue}{ 5 }}{ 5 \cdot \color{blue}{ 5 }} = \\[1ex] &=\frac{ \color{purple}{ 1444 } }{ 25 } + \frac{ \color{purple}{ -665 } }{ 25 }=\frac{ \color{purple}{ 779 } }{ 25 } \end{aligned} $$

Add $ \dfrac{779}{25} $ and $ 6 $ to get $ \dfrac{ \color{purple}{ 929 } }{ 25 }$.

Step 1: Write $ 6 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To add fractions they must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{25}$.

$$ \begin{aligned} \frac{779}{25} +6 & \xlongequal{\text{Step 1}} \frac{779}{25} + \frac{6}{\color{red}{1}} = \frac{ 779 }{ 25 } + \frac{ 6 \cdot \color{blue}{ 25 }}{ 1 \cdot \color{blue}{ 25 }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 779 } }{ 25 } + \frac{ \color{purple}{ 150 } }{ 25 }=\frac{ \color{purple}{ 929 } }{ 25 } \end{aligned} $$