Basic Math Examples

$\frac{12 - (- 12)}{12 - 6 \div 2}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $6$ and $2$ .

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Step 1.1.1

Factor $2$ out of $6$ .

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

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $2$ .

$\frac{12 - (- 12)}{12 - 2 \cdot 3 \div 2 (1)}$

Step 1.1.2.2

Cancel the common factor.

$\frac{12 - (- 12)}{12 - 2 \cdot 3 \div 2 \cdot 1}$

Step 1.1.2.3

Rewrite the expression.

$\frac{12 - (- 12)}{12 - \frac{3}{1}}$

Step 1.1.2.4

Divide $3$ by $1$ .

$\frac{12 - (- 12)}{12 - 1 \cdot 3}$

Step 1.2

Cancel the common factor of $12 - (- 12)$ and $12 - 1 \cdot 3$ .

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Step 1.2.1

Rewrite $12$ as $- 1 (- 12)$ .

$\frac{12 - (- 12)}{- 1 (- 12) - 1 \cdot 3}$

Step 1.2.2

Factor $- 1$ out of $- 1 \cdot 3$ .

$\frac{12 - (- 12)}{- 1 (- 12) - 1 (3)}$

Step 1.2.3

Factor $- 1$ out of $- 1 (- 12) - 1 (3)$ .

$\frac{12 - (- 12)}{- 1 (- 12 + 3)}$

Step 1.2.4

Reorder terms.

$\frac{12 - 12 \cdot - 1}{- 1 (- 12 + 3)}$

Step 1.2.5

Factor $3$ out of $12$ .

$\frac{3 \cdot 4 - 12 \cdot - 1}{- 1 (- 12 + 3)}$

Step 1.2.6

Factor $3$ out of $- 12 \cdot - 1$ .

$\frac{3 \cdot 4 + 3 (- 4 \cdot - 1)}{- 1 (- 12 + 3)}$

Step 1.2.7

Factor $3$ out of $3 (4) + 3 (- 4 \cdot - 1)$ .

$\frac{3 (4 - 4 \cdot - 1)}{- 1 (- 12 + 3)}$

Step 1.2.8

Cancel the common factors.

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Step 1.2.8.1

Factor $3$ out of $- 1 (- 12 + 3)$ .

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

Step 1.2.8.2

Cancel the common factor.

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

Step 1.2.8.3

Rewrite the expression.

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

Step 2

Simplify the numerator.

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Step 2.1

Multiply $- 4$ by $- 1$ .

$\frac{4 + 4}{- 1 (- 4 + 1)}$

Step 2.2

Add $4$ and $4$ .

$\frac{8}{- 1 (- 4 + 1)}$

Step 3

Simplify the expression.

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Step 3.1

Add $- 4$ and $1$ .

$\frac{8}{- 1 \cdot - 3}$

Step 3.2

Multiply $- 1$ by $- 3$ .

$\frac{8}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$