Pre-Algebra Examples

$\frac{- 3 - 2 \cdot - 9}{- 15 - 3 \cdot - 4}$

Step 1

Cancel the common factor of $- 3 - 2 \cdot - 9$ and $- 15 - 3 \cdot - 4$ .

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Step 1.1

Reorder terms.

$\frac{- 3 - 9 \cdot - 2}{- 15 - 3 \cdot - 4}$

Step 1.2

Factor $3$ out of $- 3$ .

$\frac{3 (- 1) - 9 \cdot - 2}{- 15 - 3 \cdot - 4}$

Step 1.3

Factor $3$ out of $- 9 \cdot - 2$ .

$\frac{3 (- 1) + 3 (- 3 \cdot - 2)}{- 15 - 3 \cdot - 4}$

Step 1.4

Factor $3$ out of $3 (- 1) + 3 (- 3 \cdot - 2)$ .

$\frac{3 (- 1 - 3 \cdot - 2)}{- 15 - 3 \cdot - 4}$

Step 1.5

Cancel the common factors.

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Step 1.5.1

Factor $3$ out of $- 15$ .

$\frac{3 (- 1 - 3 \cdot - 2)}{3 \cdot - 5 - 3 \cdot - 4}$

Step 1.5.2

Factor $3$ out of $- 3 \cdot - 4$ .

$\frac{3 (- 1 - 3 \cdot - 2)}{3 \cdot - 5 + 3 (- - 4)}$

Step 1.5.3

Factor $3$ out of $3 (- 5) + 3 (- - 4)$ .

$\frac{3 (- 1 - 3 \cdot - 2)}{3 (- 5 - - 4)}$

Step 1.5.4

Cancel the common factor.

$\frac{3 (- 1 - 3 \cdot - 2)}{3 (- 5 - - 4)}$

Step 1.5.5

Rewrite the expression.

$\frac{- 1 - 3 \cdot - 2}{- 5 - - 4}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $- 3$ by $- 2$ .

$\frac{- 1 + 6}{- 5 - - 4}$

Step 2.2

Add $- 1$ and $6$ .

$\frac{5}{- 5 - - 4}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $- 1$ by $- 4$ .

$\frac{5}{- 5 + 4}$

Step 3.2

Add $- 5$ and $4$ .

$\frac{5}{- 1}$

Step 4

Divide $5$ by $- 1$ .

$- 5$