Evaluate
3\left(mn+m-3n\right)
Expand
3mn+3m-9n
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\frac{nm^{2}\left(mn+m-3n\right)}{\frac{1}{3}nm^{2}}
Factor the expressions that are not already factored.
\frac{mn+m-3n}{\frac{1}{3}}
Cancel out nm^{2} in both numerator and denominator.
\left(mn+m-3n\right)\times 3
Divide mn+m-3n by \frac{1}{3} by multiplying mn+m-3n by the reciprocal of \frac{1}{3}.
3mn+3m-9n
Use the distributive property to multiply mn+m-3n by 3.
\frac{nm^{2}\left(mn+m-3n\right)}{\frac{1}{3}nm^{2}}
Factor the expressions that are not already factored.
\frac{mn+m-3n}{\frac{1}{3}}
Cancel out nm^{2} in both numerator and denominator.
\left(mn+m-3n\right)\times 3
Divide mn+m-3n by \frac{1}{3} by multiplying mn+m-3n by the reciprocal of \frac{1}{3}.
3mn+3m-9n
Use the distributive property to multiply mn+m-3n by 3.
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