Calculate: (e)/(\frac{-8){13}}=(23)/(8)

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Expression: $\frac{ e }{ \frac{ -8 }{ 13 } }=\frac{ 23 }{ 8 }$

Determine the sign of the fraction

$-\frac{ e }{ \frac{ 8 }{ 13 } }=\frac{ 23 }{ 8 }$

Simplify the complex fraction

$-\frac{ 13e }{ 8 }=\frac{ 23 }{ 8 }$

When the denominators are the same, set the numerators equal

$-13e=23$

Change the signs on both sides of the equation

$13e=-23$

Divide both sides of the equation by $13$

$\begin{align*}&e=-\frac{ 23 }{ 13 } \\&\begin{array} { l }e=-1 \frac{ 10 }{ 13 },& e=-1.\overset{ \cdot }{ 7 } 6923\overset{ \cdot }{ 0 } \end{array}\end{align*}$

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