Finite Math Examples

$1 - \frac{27 - 39}{27}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $27 - 39$ and $27$ .

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Step 1.1.1

Factor $3$ out of $27$ .

$1 - \frac{3 (9) - 39}{27}$

Step 1.1.2

Factor $3$ out of $- 39$ .

$1 - \frac{3 \cdot 9 + 3 \cdot - 13}{27}$

Step 1.1.3

Factor $3$ out of $3 \cdot 9 + 3 \cdot - 13$ .

$1 - \frac{3 \cdot (9 - 13)}{27}$

Step 1.1.4

Cancel the common factors.

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Step 1.1.4.1

Factor $3$ out of $27$ .

$1 - \frac{3 \cdot (9 - 13)}{3 (9)}$

Step 1.1.4.2

Cancel the common factor.

$1 - \frac{3 \cdot (9 - 13)}{3 \cdot 9}$

Step 1.1.4.3

Rewrite the expression.

$1 - \frac{9 - 13}{9}$

$1 - \frac{9 - 13}{9}$

$1 - \frac{9 - 13}{9}$

Step 1.2

Subtract $13$ from $9$ .

$1 - \frac{- 4}{9}$

Step 1.3

Move the negative in front of the fraction.

$1 - - \frac{4}{9}$

Step 1.4

Multiply $- - \frac{4}{9}$ .

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Step 1.4.1

Multiply $- 1$ by $- 1$ .

$1 + 1 (\frac{4}{9})$

Step 1.4.2

Multiply $\frac{4}{9}$ by $1$ .

$1 + \frac{4}{9}$

$1 + \frac{4}{9}$

$1 + \frac{4}{9}$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$\frac{9}{9} + \frac{4}{9}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{9 + 4}{9}$

Step 2.3

Add $9$ and $4$ .

$\frac{13}{9}$

$\frac{13}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{9}$

Decimal Form:

$1.\overline{4}$

Mixed Number Form:

$1 \frac{4}{9}$

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