Finite Math Examples

$\frac{0.05}{1 - (1 + 0.05) - 2} \cdot (20000)$

Step 1

Simplify the denominator.

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Step 1.1

Add $1$ and $0.05$ .

$\frac{0.05}{1 - 1 \cdot 1.05 - 2} \cdot 20000$

Step 1.2

Multiply $- 1$ by $1.05$ .

$\frac{0.05}{1 - 1.05 - 2} \cdot 20000$

Step 1.3

Subtract $1.05$ from $1$ .

$\frac{0.05}{- 0.05 - 2} \cdot 20000$

Step 1.4

Subtract $2$ from $- 0.05$ .

$\frac{0.05}{- 2.05} \cdot 20000$

$\frac{0.05}{- 2.05} \cdot 20000$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $0.05$ .

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Step 2.1.1

Cancel the common factor.

$\frac{0.05}{- 2.05} \cdot 20000$

Step 2.1.2

Rewrite the expression.

$\frac{1}{- 2.05} \cdot \frac{20000}{20}$

$\frac{1}{- 2.05} \cdot \frac{20000}{20}$

Step 2.2

Multiply $\frac{1}{- 2.05}$ by $\frac{20000}{20}$ .

$\frac{20000}{- 2.05 \cdot 20}$

Step 2.3

Multiply $- 2.05$ by $20$ .

$\frac{20000}{- 41}$

Step 2.4

Cancel the common factor of $20000$ and $- 41$ .

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Step 2.4.1

Rewrite $20000$ as $1 (20000)$ .

$\frac{1 (20000)}{- 41}$

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

Rewrite $- 41$ as $1 (- 41)$ .

$\frac{1 \cdot 20000}{1 \cdot - 41}$

Step 2.4.2.2

Cancel the common factor.

$\frac{1 \cdot 20000}{1 \cdot - 41}$

Step 2.4.2.3

Rewrite the expression.

$\frac{20000}{- 41}$

$\frac{20000}{- 41}$

$\frac{20000}{- 41}$

Step 2.5

Move the negative in front of the fraction.

$- \frac{20000}{41}$

$- \frac{20000}{41}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{20000}{41}$

Decimal Form:

$- 487.80487804 \dots$

Mixed Number Form:

$- 487 \frac{33}{41}$

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