Simplify (7k-14)/(28-14k)

$\frac{7 k - 14}{28 - 14 k}$

Cancel the common factor of $7 k - 14$ and $28 - 14 k$ .

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Factor $7$ out of $7 k$ .

$\frac{7 (k) - 14}{28 - 14 k}$

Factor $7$ out of $- 14$ .

$\frac{7 k + 7 \cdot - 2}{28 - 14 k}$

Factor $7$ out of $7 k + 7 \cdot - 2$ .

$\frac{7 (k - 2)}{28 - 14 k}$

Cancel the common factors.

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Factor $7$ out of $28$ .

$\frac{7 (k - 2)}{7 (4) - 14 k}$

Factor $7$ out of $- 14 k$ .

$\frac{7 (k - 2)}{7 (4) + 7 (- 2 k)}$

Factor $7$ out of $7 (4) + 7 (- 2 k)$ .

$\frac{7 (k - 2)}{7 (4 - 2 k)}$

Cancel the common factor.

$\frac{7 (k - 2)}{7 (4 - 2 k)}$

Rewrite the expression.

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

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

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Factor $2$ out of $4$ .

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

Factor $2$ out of $- 2 k$ .

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

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

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

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

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Factor $- 1$ out of $k$ .

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

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

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

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

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

Reorder terms.

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 1}{2}$

Move the negative in front of the fraction.

$- \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$

Simplify (7k-14)/(28-14k)

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