Basic Math Examples

$\frac{- 18 - 12}{- 18 + 12}$

Step 1

Cancel the common factor of $- 18 - 12$ and $- 18 + 12$ .

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Step 1.1

Factor $6$ out of $- 18$ .

$\frac{6 (- 3) - 12}{- 18 + 12}$

Step 1.2

Factor $6$ out of $- 12$ .

$\frac{6 \cdot - 3 + 6 \cdot - 2}{- 18 + 12}$

Step 1.3

Factor $6$ out of $6 \cdot - 3 + 6 \cdot - 2$ .

$\frac{6 \cdot (- 3 - 2)}{- 18 + 12}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $6$ out of $- 18$ .

$\frac{6 \cdot (- 3 - 2)}{6 (- 3) + 12}$

Step 1.4.2

Factor $6$ out of $12$ .

$\frac{6 \cdot (- 3 - 2)}{6 \cdot - 3 + 6 \cdot 2}$

Step 1.4.3

Factor $6$ out of $6 \cdot - 3 + 6 \cdot 2$ .

$\frac{6 \cdot (- 3 - 2)}{6 \cdot (- 3 + 2)}$

Step 1.4.4

Cancel the common factor.

$\frac{6 \cdot (- 3 - 2)}{6 \cdot (- 3 + 2)}$

Step 1.4.5

Rewrite the expression.

$\frac{- 3 - 2}{- 3 + 2}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $2$ from $- 3$ .

$\frac{- 5}{- 3 + 2}$

Step 2.2

Add $- 3$ and $2$ .

$\frac{- 5}{- 1}$

Step 2.3

Divide $- 5$ by $- 1$ .

$5$