Finite Math Examples

$a = 26000 (1 + 0.043) (\frac{5}{6})$

Step 1

Multiply $26000 (1 + 0.043)$ by $\frac{5}{6}$ .

$a = 26000 (1 + 0.043) (\frac{5}{6})$

Step 2

Simplify $26000 (1 + 0.043) (\frac{5}{6})$ .

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $26000 (1 + 0.043)$ .

$a = 2 (13000 (1 + 0.043)) \frac{5}{6}$

Step 2.1.2

Factor $2$ out of $6$ .

$a = 2 (13000 (1 + 0.043)) \frac{5}{2 (3)}$

Step 2.1.3

Cancel the common factor.

$a = 2 (13000 (1 + 0.043)) \frac{5}{2 \cdot 3}$

Step 2.1.4

Rewrite the expression.

$a = 13000 (1 + 0.043) \frac{5}{3}$

$a = 13000 (1 + 0.043) \frac{5}{3}$

Step 2.2

Combine $\frac{5}{3}$ and $13000$ .

$a = \frac{5 \cdot 13000}{3} (1 + 0.043)$

Step 2.3

Simplify the expression.

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Step 2.3.1

Multiply $5$ by $13000$ .

$a = \frac{65000}{3} (1 + 0.043)$

Step 2.3.2

Add $1$ and $0.043$ .

$a = \frac{65000}{3} \cdot 1.043$

$a = \frac{65000}{3} \cdot 1.043$

Step 2.4

Multiply $\frac{65000}{3} \cdot 1.043$ .

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Step 2.4.1

Combine $\frac{65000}{3}$ and $1.043$ .

$a = \frac{65000 \cdot 1.043}{3}$

Step 2.4.2

Multiply $65000$ by $1.043$ .

$a = \frac{67795}{3}$

$a = \frac{67795}{3}$

Step 2.5

Cancel the common factor of $67795$ and $3$ .

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Step 2.5.1

Rewrite $67795$ as $1 (67795)$ .

$a = \frac{1 (67795)}{3}$

Step 2.5.2

Cancel the common factors.

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Step 2.5.2.1

Rewrite $3$ as $1 (3)$ .

$a = \frac{1 \cdot 67795}{1 \cdot 3}$

Step 2.5.2.2

Cancel the common factor.

$a = \frac{1 \cdot 67795}{1 \cdot 3}$

Step 2.5.2.3

Rewrite the expression.

$a = \frac{67795}{3}$

$a = \frac{67795}{3}$

$a = \frac{67795}{3}$

$a = \frac{67795}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = \frac{67795}{3}$

Decimal Form:

$a = 22598.\overline{3}$

Mixed Number Form:

$a = 22598 \frac{1}{3}$

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