Basic Math Examples

$\frac{140000 (\frac{0.08}{12})}{1 - {(1 + \frac{0.08}{12})}^{- 12 \cdot 30}}$

Step 1

Combine $140000$ and $\frac{0.08}{12}$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{1 - {(1 + \frac{0.08}{12})}^{- 12 \cdot 30}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.08$ by $12$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{1 - {(1 + 0.00\overline{6})}^{- 12 \cdot 30}}$

Step 2.2

Add $1$ and $0.00\overline{6}$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{1 - {1.00\overline{6}}^{- 12 \cdot 30}}$

Step 2.3

Multiply $- 12$ by $30$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{1 - {1.00\overline{6}}^{- 360}}$

Step 2.4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{1 - \frac{1}{{1.00\overline{6}}^{360}}}$

Step 2.5

Raise $1.00\overline{6}$ to the power of $360$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{1 - \frac{1}{10.93572965}}$

Step 2.6

Divide $1$ by $10.93572965$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{1 - 1 \cdot 0.09144337}$

Step 2.7

Multiply $- 1$ by $0.09144337$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{1 - 0.09144337}$

Step 2.8

Subtract $0.09144337$ from $1$ .

$\frac{\frac{140000 \cdot 0.08}{12}}{0.90855662}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $140000$ by $0.08$ .

$\frac{\frac{11200}{12}}{0.90855662}$

Step 3.2

Cancel the common factor of $11200$ and $12$ .

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Step 3.2.1

Factor $4$ out of $11200$ .

$\frac{\frac{4 (2800)}{12}}{0.90855662}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $4$ out of $12$ .

$\frac{\frac{4 \cdot 2800}{4 \cdot 3}}{0.90855662}$

Step 3.2.2.2

Cancel the common factor.

$\frac{\frac{4 \cdot 2800}{4 \cdot 3}}{0.90855662}$

Step 3.2.2.3

Rewrite the expression.

$\frac{\frac{2800}{3}}{0.90855662}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{2800}{3} \cdot \frac{1}{0.90855662}$

Step 5

Divide $1$ by $0.90855662$ .

$\frac{2800}{3} \cdot 1.10064686$

Step 6

Multiply $\frac{2800}{3} \cdot 1.10064686$ .

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Step 6.1

Combine $\frac{2800}{3}$ and $1.10064686$ .

$\frac{2800 \cdot 1.10064686}{3}$

Step 6.2

Multiply $2800$ by $1.10064686$ .

$\frac{3081.81121029}{3}$

Step 7

Divide $3081.81121029$ by $3$ .

$1027.27040343$