Finite Math Examples

$p = \frac{24000}{1 + 0.09 (\frac{16}{12})}$

Step 1

Cancel the common factor of $16$ and $12$ .

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Step 1.1

Factor $4$ out of $16$ .

$p = \frac{24000}{1 + 0.09 \frac{4 (4)}{12}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $12$ .

$p = \frac{24000}{1 + 0.09 \frac{4 \cdot 4}{4 \cdot 3}}$

Step 1.2.2

Cancel the common factor.

$p = \frac{24000}{1 + 0.09 \frac{4 \cdot 4}{4 \cdot 3}}$

Step 1.2.3

Rewrite the expression.

$p = \frac{24000}{1 + 0.09 (\frac{4}{3})}$

Step 2

Simplify the denominator.

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Step 2.1

Cancel the common factor of $0.03$ .

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Step 2.1.1

Factor $0.03$ out of $0.09$ .

$p = \frac{24000}{1 + 0.03 (3) \frac{4}{3}}$

Step 2.1.2

Factor $0.03$ out of $3$ .

$p = \frac{24000}{1 + 0.03 \cdot 3 \frac{4}{0.03 \cdot 100}}$

Step 2.1.3

Cancel the common factor.

$p = \frac{24000}{1 + 0.03 \cdot 3 \frac{4}{0.03 \cdot 100}}$

Step 2.1.4

Rewrite the expression.

$p = \frac{24000}{1 + 3 (\frac{4}{100})}$

Step 2.2

Combine $3$ and $\frac{4}{100}$ .

$p = \frac{24000}{1 + \frac{3 \cdot 4}{100}}$

Step 2.3

Multiply $3$ by $4$ .

$p = \frac{24000}{1 + \frac{12}{100}}$

Step 2.4

Cancel the common factor of $12$ and $100$ .

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Step 2.4.1

Factor $4$ out of $12$ .

$p = \frac{24000}{1 + \frac{4 (3)}{100}}$

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

Factor $4$ out of $100$ .

$p = \frac{24000}{1 + \frac{4 \cdot 3}{4 \cdot 25}}$

Step 2.4.2.2

Cancel the common factor.

$p = \frac{24000}{1 + \frac{4 \cdot 3}{4 \cdot 25}}$

Step 2.4.2.3

Rewrite the expression.

$p = \frac{24000}{1 + \frac{3}{25}}$

Step 2.5

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

$p = \frac{24000}{\frac{25}{25} + \frac{3}{25}}$

Step 2.6

Combine the numerators over the common denominator.

$p = \frac{24000}{\frac{25 + 3}{25}}$

Step 2.7

Add $25$ and $3$ .

$p = \frac{24000}{\frac{28}{25}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$p = 24000 (\frac{25}{28})$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $24000$ .

$p = 4 (6000) \frac{25}{28}$

Step 4.2

Factor $4$ out of $28$ .

$p = 4 \cdot 6000 \frac{25}{4 \cdot 7}$

Step 4.3

Cancel the common factor.

$p = 4 \cdot 6000 \frac{25}{4 \cdot 7}$

Step 4.4

Rewrite the expression.

$p = 6000 (\frac{25}{7})$

Step 5

Combine $6000$ and $\frac{25}{7}$ .

$p = \frac{6000 \cdot 25}{7}$

Step 6

Multiply $6000$ by $25$ .

$p = \frac{150000}{7}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$p = \frac{150000}{7}$

Decimal Form:

$p = 21428.57142857 \dots$

Mixed Number Form:

$p = 21428 \frac{4}{7}$