Calculate: (759-\frac{55^2)/(5)}{5-1}

Expression: $\frac{ 759-\frac{ {55}^{2} }{ 5 } }{ 5-1 }$

Write all numerators above the common denominator

$\frac{ \frac{ 3795-{55}^{2} }{ 5 } }{ 5-1 }$

Subtract the numbers

$\frac{ \frac{ 3795-{55}^{2} }{ 5 } }{ 4 }$

Simplify the complex fraction

$\frac{ 3795-{55}^{2} }{ 20 }$

Evaluate the power

$\frac{ 3795-3025 }{ 20 }$

Subtract the numbers

$\frac{ 770 }{ 20 }$

Cancel out the common factor $10$

$\begin{align*}&\frac{ 77 }{ 2 } \\&\begin{array} { l }38 \frac{ 1 }{ 2 },& 38.5\end{array}\end{align*}$