Calculate: (5)/(6)/(-(2)/(3))

Expression: $\frac{ 5 }{ 6 }\div\left( -\frac{ 2 }{ 3 } \right)$

Dividing a positive and a negative equals a negative: $\left( + \right)\div\left( - \right)=\left( - \right)$

$-\frac{ 5 }{ 6 }\div\frac{ 2 }{ 3 }$

To divide by a fraction, multiply by the reciprocal of that fraction

$-\frac{ 5 }{ 6 } \times \frac{ 3 }{ 2 }$

Cancel out the greatest common factor $3$

$-\frac{ 5 }{ 2 } \times \frac{ 1 }{ 2 }$

Multiply the fractions

$\begin{align*}&-\frac{ 5 }{ 4 } \\&\begin{array} { l }-1 \frac{ 1 }{ 4 },& -1.25\end{array}\end{align*}$