Divide (m-2)/(4-2m)

$\frac{m - 2}{4 - 2 m}$

Step 1

Factor $2$ out of $4 - 2 m$ .

Factor $2$ out of $4$ .

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

Factor $2$ out of $- 2 m$ .

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

Factor $2$ out of $2 (2) + 2 (- m)$ .

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

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

Step 2

Cancel the common factor of $m - 2$ and $2 - m$ .

Factor $- 1$ out of $m$ .

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

Rewrite $- 2$ as $- 1 (2)$ .

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

Factor $- 1$ out of $- 1 (- m) - 1 (2)$ .

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

Reorder terms.

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 1}{2}$

$\frac{- 1}{2}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$

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