Pre-Algebra Examples

$\frac{- 10 y - 12}{10 y + 14}$

Step 1

Cancel the common factor of $- 10 y - 12$ and $10 y + 14$ .

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Step 1.1

Factor $2$ out of $- 10 y$ .

$\frac{2 (- 5 y) - 12}{10 y + 14}$

Step 1.2

Factor $2$ out of $- 12$ .

$\frac{2 (- 5 y) + 2 (- 6)}{10 y + 14}$

Step 1.3

Factor $2$ out of $2 (- 5 y) + 2 (- 6)$ .

$\frac{2 (- 5 y - 6)}{10 y + 14}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $10 y$ .

$\frac{2 (- 5 y - 6)}{2 (5 y) + 14}$

Step 1.4.2

Factor $2$ out of $14$ .

$\frac{2 (- 5 y - 6)}{2 (5 y) + 2 (7)}$

Step 1.4.3

Factor $2$ out of $2 (5 y) + 2 (7)$ .

$\frac{2 (- 5 y - 6)}{2 (5 y + 7)}$

Step 1.4.4

Cancel the common factor.

$\frac{2 (- 5 y - 6)}{2 (5 y + 7)}$

Step 1.4.5

Rewrite the expression.

$\frac{- 5 y - 6}{5 y + 7}$

$\frac{- 5 y - 6}{5 y + 7}$

$\frac{- 5 y - 6}{5 y + 7}$

Step 2

Factor $- 1$ out of $- 5 y$ .

$\frac{- (5 y) - 6}{5 y + 7}$

Step 3

Rewrite $- 6$ as $- 1 (6)$ .

$\frac{- (5 y) - 1 (6)}{5 y + 7}$

Step 4

Factor $- 1$ out of $- (5 y) - 1 (6)$ .

$\frac{- (5 y + 6)}{5 y + 7}$

Step 5

Simplify the expression.

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Step 5.1

Rewrite $- (5 y + 6)$ as $- 1 (5 y + 6)$ .

$\frac{- 1 (5 y + 6)}{5 y + 7}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{5 y + 6}{5 y + 7}$

$- \frac{5 y + 6}{5 y + 7}$

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