Basic Math Examples

\frac{18 - 3 \cdot - 2}{12 - 2}

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

Step 1

Cancel the common factor of

18 - 3 \cdot - 2

$18 - 3 \cdot - 2$ and

12 - 2

$12 - 2$ .

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Step 1.1

Rewrite

18

$18$ as

- 1 (- 18)

$- 1 (- 18)$ .

\frac{- 1 (- 18) - 3 \cdot - 2}{12 - 2}

$\frac{- 1 (- 18) - 3 \cdot - 2}{12 - 2}$

Step 1.2

Factor

- 1

$- 1$ out of

- 3 \cdot - 2

$- 3 \cdot - 2$ .

\frac{- 1 (- 18) - (3 \cdot - 2)}{12 - 2}

$\frac{- 1 (- 18) - (3 \cdot - 2)}{12 - 2}$

Step 1.3

Factor

- 1

$- 1$ out of

- 1 (- 18) - (3 \cdot - 2)

$- 1 (- 18) - (3 \cdot - 2)$ .

\frac{- 1 (- 18 + 3 \cdot - 2)}{12 - 2}

$\frac{- 1 (- 18 + 3 \cdot - 2)}{12 - 2}$

Step 1.4

Reorder terms.

\frac{- 1 (- 18 - 2 \cdot 3)}{12 - 2}

$\frac{- 1 (- 18 - 2 \cdot 3)}{12 - 2}$

Step 1.5

Factor

2

$2$ out of

- 1 (- 18 - 2 \cdot 3)

$- 1 (- 18 - 2 \cdot 3)$ .

\frac{2 (- 1 (- 9 - 1 \cdot 3))}{12 - 2}

$\frac{2 (- 1 (- 9 - 1 \cdot 3))}{12 - 2}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor

2

$2$ out of

12

$12$ .

\frac{2 (- 1 (- 9 - 1 \cdot 3))}{2 (6) - 2}

$\frac{2 (- 1 (- 9 - 1 \cdot 3))}{2 (6) - 2}$

Step 1.6.2

Factor

2

$2$ out of

- 2

$- 2$ .

\frac{2 (- 1 (- 9 - 1 \cdot 3))}{2 \cdot 6 + 2 \cdot - 1}

$\frac{2 (- 1 (- 9 - 1 \cdot 3))}{2 \cdot 6 + 2 \cdot - 1}$

Step 1.6.3

Factor

2

$2$ out of

2 \cdot 6 + 2 \cdot - 1

$2 \cdot 6 + 2 \cdot - 1$ .

\frac{2 (- 1 (- 9 - 1 \cdot 3))}{2 \cdot (6 - 1)}

$\frac{2 (- 1 (- 9 - 1 \cdot 3))}{2 \cdot (6 - 1)}$

Step 1.6.4

Cancel the common factor.

$\frac{2 (- 1 (- 9 - 1 \cdot 3))}{2 \cdot (6 - 1)}$

Step 1.6.5

Rewrite the expression.

$\frac{- 1 (- 9 - 1 \cdot 3)}{6 - 1}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply

$- 1$ by

$3$ .

$\frac{- 1 (- 9 - 3)}{6 - 1}$

Step 2.2

Subtract

$3$ from

$- 9$ .

$\frac{- 1 \cdot - 12}{6 - 1}$

Step 3

Simplify the expression.

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Step 3.1

Subtract

$1$ from

$6$ .

$\frac{- 1 \cdot - 12}{5}$

Step 3.2

Multiply

$- 1$ by

$- 12$ .

$\frac{12}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{5}$

Decimal Form:

$2.4$

Mixed Number Form:

$2 \frac{2}{5}$