Evaluate: (e)/(\frac{-1){25}}=(25)/(19)

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Expression: $\frac{ e }{ \frac{ -1 }{ 25 } }=\frac{ 25 }{ 19 }$

Determine the sign of the fraction

$-\frac{ e }{ \frac{ 1 }{ 25 } }=\frac{ 25 }{ 19 }$

Simplify the complex fraction

$-25e=\frac{ 25 }{ 19 }$

Divide both sides of the equation by $-25$

$\begin{align*}&e=-\frac{ 1 }{ 19 } \\&\begin{array} { l }e=-0.\overset{ \cdot }{ 0 } 5263157894736842\overset{ \cdot }{ 1 } ,& e=-{19}^{-1}\end{array}\end{align*}$

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