Solve for: (5)/(12)/(-3)/(6)

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Expression: $\frac{ 5 }{ 12 }\div\frac{ -3 }{ 6 }$

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

$-\frac{ 5 }{ 12 }\div\frac{ 3 }{ 6 }$

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

$-\frac{ 5 }{ 12 } \times \frac{ 6 }{ 3 }$

Cancel out the common factor $3$

$-\frac{ 5 }{ 12 } \times 2$

Cancel out the greatest common factor $2$

$\begin{align*}&-\frac{ 5 }{ 6 } \\&-0.8\overset{ \cdot }{ 3 } \end{align*}$

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