Pre-Algebra Examples

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

Step 1

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

Tap for more steps...

Step 1.1

Factor $7$ out of $7 k$ .

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

Step 1.2

Factor $7$ out of $- 14$ .

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

Step 1.3

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

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

Step 1.4

Cancel the common factors.

Tap for more steps...

Step 1.4.1

Factor $7$ out of $28$ .

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

Step 1.4.2

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

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

Step 1.4.3

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

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

Step 1.4.4

Cancel the common factor.

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

Step 1.4.5

Rewrite the expression.

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

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

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

Step 2

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

Tap for more steps...

Step 2.1

Factor $2$ out of $4$ .

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

Step 2.2

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

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

Step 2.3

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

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

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

Step 3

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

Tap for more steps...

Step 3.1

Factor $- 1$ out of $k$ .

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

Step 3.2

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

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

Step 3.3

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

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

Step 3.4

Reorder terms.

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

Step 3.5

Cancel the common factor.

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

Step 3.6

Rewrite the expression.

$\frac{- 1}{2}$

$\frac{- 1}{2}$

Step 4

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$