Pre-Algebra Examples

$\frac{5 x - 10}{- 5 x}$

Step 1

Cancel the common factor of $5 x - 10$ and $- 5$ .

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Step 1.1

Factor $5$ out of $5 x$ .

$\frac{5 (x) - 10}{- 5 x}$

Step 1.2

Factor $5$ out of $- 10$ .

$\frac{5 (x) + 5 (- 2)}{- 5 x}$

Step 1.3

Factor $5$ out of $5 (x) + 5 (- 2)$ .

$\frac{5 (x - 2)}{- 5 x}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $5$ out of $- 5 x$ .

$\frac{5 (x - 2)}{5 (- x)}$

Step 1.4.2

Cancel the common factor.

$\frac{5 (x - 2)}{5 (- x)}$

Step 1.4.3

Rewrite the expression.

$\frac{x - 2}{- x}$

Step 2

Move the negative in front of the fraction.

$- \frac{x - 2}{x}$

Step 3

Split the fraction $\frac{x - 2}{x}$ into two fractions.

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

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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

Step 5

Move the negative in front of the fraction.

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