Finite Math Examples

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

Step 1

Cancel the common factor of $4 + 4 (2^{3} - 3)$ and $18$ .

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Step 1.1

Factor $2$ out of $4$ .

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

Step 1.2

Factor $2$ out of $4 (2^{3} - 3)$ .

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

Step 1.3

Factor $2$ out of $2 (2) + 2 (2 (2^{3} - 3))$ .

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

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $18$ .

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

Step 1.4.2

Cancel the common factor.

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

Step 1.4.3

Rewrite the expression.

$\frac{2 + 2 (2^{3} - 3)}{9}$

$\frac{2 + 2 (2^{3} - 3)}{9}$

$\frac{2 + 2 (2^{3} - 3)}{9}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{2 + 2 (8 - 3)}{9}$

Step 2.2

Subtract $3$ from $8$ .

$\frac{2 + 2 \cdot 5}{9}$

Step 2.3

Multiply $2$ by $5$ .

$\frac{2 + 10}{9}$

Step 2.4

Add $2$ and $10$ .

$\frac{12}{9}$

$\frac{12}{9}$

Step 3

Cancel the common factor of $12$ and $9$ .

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Step 3.1

Factor $3$ out of $12$ .

$\frac{3 (4)}{9}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $9$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

$\frac{4}{3}$

$\frac{4}{3}$

$\frac{4}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$

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