Pre-Algebra Examples

$\frac{6 (2 + 1) - 6 (1 + 1)}{6 (4 - 2) - 2^{3}}$

Step 1

Simplify the numerator.

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Step 1.1

Add $2$ and $1$ .

$\frac{6 \cdot 3 - 6 (1 + 1)}{6 (4 - 2) - 2^{3}}$

Step 1.2

Multiply $6$ by $3$ .

$\frac{18 - 6 (1 + 1)}{6 (4 - 2) - 2^{3}}$

Step 1.3

Add $1$ and $1$ .

$\frac{18 - 6 \cdot 2}{6 (4 - 2) - 2^{3}}$

Step 1.4

Multiply $- 6$ by $2$ .

$\frac{18 - 12}{6 (4 - 2) - 2^{3}}$

Step 1.5

Subtract $12$ from $18$ .

$\frac{6}{6 (4 - 2) - 2^{3}}$

$\frac{6}{6 (4 - 2) - 2^{3}}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $2$ from $4$ .

$\frac{6}{6 \cdot 2 - 2^{3}}$

Step 2.2

Multiply $6$ by $2$ .

$\frac{6}{12 - 2^{3}}$

Step 2.3

Raise $2$ to the power of $3$ .

$\frac{6}{12 - 1 \cdot 8}$

Step 2.4

Multiply $- 1$ by $8$ .

$\frac{6}{12 - 8}$

Step 2.5

Subtract $8$ from $12$ .

$\frac{6}{4}$

$\frac{6}{4}$

Step 3

Cancel the common factor of $6$ and $4$ .

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Step 3.1

Factor $2$ out of $6$ .

$\frac{2 (3)}{4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $4$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

$\frac{3}{2}$

$\frac{3}{2}$

$\frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$