Basic Math Examples

$\frac{3^{3} - 3 | 2 - 7 |}{2 (6 - 9) - 12 \div 6}$

Step 1

Cancel the common factor of $12$ and $6$ .

Tap for more steps...

Step 1.1

Factor $6$ out of $12$ .

$\frac{3^{3} - 3 | 2 - 7 |}{2 (6 - 9) - 6 \cdot 2 \div 6}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $6$ out of $6$ .

$\frac{3^{3} - 3 | 2 - 7 |}{2 (6 - 9) - 6 \cdot 2 \div 6 (1)}$

Step 1.2.2

Cancel the common factor.

$\frac{3^{3} - 3 | 2 - 7 |}{2 (6 - 9) - 6 \cdot 2 \div 6 \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{3^{3} - 3 | 2 - 7 |}{2 (6 - 9) - \frac{2}{1}}$

Step 1.2.4

Divide $2$ by $1$ .

$\frac{3^{3} - 3 | 2 - 7 |}{2 (6 - 9) - 1 \cdot 2}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Raise $3$ to the power of $3$ .

$\frac{27 - 3 | 2 - 7 |}{2 (6 - 9) - 1 \cdot 2}$

Step 2.2

Subtract $7$ from $2$ .

$\frac{27 - 3 | - 5 |}{2 (6 - 9) - 1 \cdot 2}$

Step 2.3

The absolute value is the distance between a number and zero. The distance between $- 5$ and $0$ is $5$ .

$\frac{27 - 3 \cdot 5}{2 (6 - 9) - 1 \cdot 2}$

Step 2.4

Multiply $- 3$ by $5$ .

$\frac{27 - 15}{2 (6 - 9) - 1 \cdot 2}$

Step 2.5

Subtract $15$ from $27$ .

$\frac{12}{2 (6 - 9) - 1 \cdot 2}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Subtract $9$ from $6$ .

$\frac{12}{2 \cdot - 3 - 1 \cdot 2}$

Step 3.2

Multiply $2$ by $- 3$ .

$\frac{12}{- 6 - 1 \cdot 2}$

Step 3.3

Multiply $- 1$ by $2$ .

$\frac{12}{- 6 - 2}$

Step 3.4

Subtract $2$ from $- 6$ .

$\frac{12}{- 8}$

Step 4

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 4.1

Cancel the common factor of $12$ and $- 8$ .

Tap for more steps...

Step 4.1.1

Factor $4$ out of $12$ .

$\frac{4 (3)}{- 8}$

Step 4.1.2

Cancel the common factors.

Tap for more steps...

Step 4.1.2.1

Factor $4$ out of $- 8$ .

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

Step 4.1.2.2

Cancel the common factor.

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

Step 4.1.2.3

Rewrite the expression.

$\frac{3}{- 2}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{2}$

Decimal Form:

$- 1.5$

Mixed Number Form:

$- 1 \frac{1}{2}$