Simplify (m-n)/(mn)*(2mn)/(mn-m^2)

$\frac{m - n}{m n} \cdot \frac{2 m n}{m n - m^{2}}$

Factor $m$ out of $m n - m^{2}$ .

Factor $m$ out of $m n$ .

$\frac{m - n}{m n} \cdot \frac{2 m n}{m (n) - m^{2}}$

Factor $m$ out of $- m^{2}$ .

$\frac{m - n}{m n} \cdot \frac{2 m n}{m (n) + m (- m)}$

Factor $m$ out of $m (n) + m (- m)$ .

$\frac{m - n}{m n} \cdot \frac{2 m n}{m (n - m)}$

Cancel the common factor of $m n$ .

Factor $m n$ out of $2 m n$ .

$\frac{m - n}{m n} \cdot \frac{m n (2)}{m (n - m)}$

Cancel the common factor.

$\frac{m - n}{m n} \cdot \frac{m n \cdot 2}{m (n - m)}$

Rewrite the expression.

$(m - n) \cdot \frac{2}{m (n - m)}$

Multiply $m - n$ by $\frac{2}{m (n - m)}$ .

$\frac{(m - n) \cdot 2}{m (n - m)}$

Cancel the common factor of $m - n$ and $n - m$ .

Factor $- 1$ out of $m$ .

$\frac{(- 1 (- m) - n) \cdot 2}{m (n - m)}$

Factor $- 1$ out of $- n$ .

$\frac{(- 1 (- m) - (n)) \cdot 2}{m (n - m)}$

Factor $- 1$ out of $- 1 (- m) - (n)$ .

$\frac{- 1 (- m + n) \cdot 2}{m (n - m)}$

Reorder terms.

$\frac{- 1 (- m + n) \cdot 2}{m (- m + n)}$

Cancel the common factor.

$\frac{- 1 (- m + n) \cdot 2}{m (- m + n)}$

Rewrite the expression.

$\frac{- 1 \cdot 2}{m}$

Simplify the expression.

Multiply $- 1$ by $2$ .

$\frac{- 2}{m}$

Move the negative in front of the fraction.

$- \frac{2}{m}$