Calculate: -30/(-(5)/(6))

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Expression: $-30\div\left( -\frac{ 5 }{ 6 } \right)$

Dividing two negatives equals a positive: $\left( - \right)\div\left( - \right)=\left( + \right)$

$30\div\frac{ 5 }{ 6 }$

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

$30 \times \frac{ 6 }{ 5 }$

Cancel out the greatest common factor $5$

$6 \times 6$

Multiply the numbers

$36$

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