Finite Math Examples

$- \frac{1 - \frac{0.1599}{12} \cdot \frac{885.97}{30}}{1 + \frac{0.1599}{12}}$

Step 1

Multiply the numerator and denominator of the fraction by $12$ .

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Step 1.1

Multiply $\frac{1 - \frac{0.1599}{12} \cdot \frac{885.97}{30}}{1 + \frac{0.1599}{12}}$ by $\frac{12}{12}$ .

$- (\frac{12}{12} \cdot \frac{1 - \frac{0.1599}{12} \cdot \frac{885.97}{30}}{1 + \frac{0.1599}{12}})$

Step 1.2

Combine.

$- \frac{12 (1 - \frac{0.1599}{12} \cdot \frac{885.97}{30})}{12 (1 + \frac{0.1599}{12})}$

Step 2

Apply the distributive property.

$- \frac{12 \cdot 1 + 12 (- \frac{0.1599}{12} \cdot \frac{885.97}{30})}{12 \cdot 1 + 12 (\frac{0.1599}{12})}$

Step 3

Cancel the common factor of $12$ .

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Step 3.1

Cancel the common factor.

$- \frac{12 \cdot 1 + 12 (- \frac{0.1599}{12} \cdot \frac{885.97}{30})}{12 \cdot 1 + 12 (\frac{0.1599}{12})}$

Step 3.2

Rewrite the expression.

$- \frac{12 \cdot 1 + 12 (- \frac{0.1599}{12} \cdot \frac{885.97}{30})}{12 \cdot 1 + 0.1599}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $12$ by $1$ .

$- \frac{12 + 12 (- \frac{0.1599}{12} \cdot \frac{885.97}{30})}{12 \cdot 1 + 0.1599}$

Step 4.2

Divide $0.1599$ by $12$ .

$- \frac{12 + 12 (- 1 \cdot 0.013325 \cdot \frac{885.97}{30})}{12 \cdot 1 + 0.1599}$

Step 4.3

Multiply $- 1$ by $0.013325$ .

$- \frac{12 + 12 (- 0.013325 \cdot \frac{885.97}{30})}{12 \cdot 1 + 0.1599}$

Step 4.4

Divide $885.97$ by $30$ .

$- \frac{12 + 12 (- 0.013325 \cdot 29.532\overline{3})}{12 \cdot 1 + 0.1599}$

Step 4.5

Multiply $12 (- 0.013325 \cdot 29.532\overline{3})$ .

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Step 4.5.1

Multiply $- 0.013325$ by $29.532\overline{3}$ .

$- \frac{12 + 12 \cdot - 0.39351834}{12 \cdot 1 + 0.1599}$

Step 4.5.2

Multiply $12$ by $- 0.39351834$ .

$- \frac{12 - 4.7222201}{12 \cdot 1 + 0.1599}$

Step 4.6

Subtract $4.7222201$ from $12$ .

$- \frac{7.2777799}{12 \cdot 1 + 0.1599}$

Step 5

Simplify the denominator.

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Step 5.1

Multiply $12$ by $1$ .

$- \frac{7.2777799}{12 + 0.1599}$

Step 5.2

Add $12$ and $0.1599$ .

$- \frac{7.2777799}{12.1599}$

Step 6

Simplify the expression.

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Step 6.1

Divide $7.2777799$ by $12.1599$ .

$- 1 \cdot 0.59850655$

Step 6.2

Multiply $- 1$ by $0.59850655$ .

$- 0.59850655$