## Algebra 2 Common Core

$$6$$
Dividing by a fraction is equivalent to multiplying by the reciprocal of the fraction. $$\frac{\frac{9}{m-n}}{\frac{3}{2m-2n}}=\frac{9}{(m-n)}\times \frac{(2m-2n)}{3}$$ Factor each term: $$\frac{3\times 3}{(m-n)}\times \frac{2(m-n)}{3}.$$ Cancel common factors: $$3\times 2=6.$$