Simplify (3-k)/(k-3)

$\frac{3 - k}{k - 3}$

Step 1

Rewrite $3$ as $- 1 (- 3)$ .

$\frac{- 1 (- 3) - k}{k - 3}$

Step 2

Factor $- 1$ out of $- k$ .

$\frac{- 1 (- 3) - (k)}{k - 3}$

Step 3

Factor $- 1$ out of $- 1 (- 3) - (k)$ .

$\frac{- 1 (- 3 + k)}{k - 3}$

Step 4

Reorder terms.

$\frac{- 1 (k - 3)}{k - 3}$

Step 5

Cancel the common factor.

$\frac{- 1 (k - 3)}{k - 3}$

Step 6

Divide $- 1$ by $1$ .

$- 1$

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