Basic Math Examples

\frac{1500 (\frac{0.125}{12})}{1 - {(1 + \frac{0.125}{12})}^{- 12 \cdot 1}}

$\frac{1500 (\frac{0.125}{12})}{1 - {(1 + \frac{0.125}{12})}^{- 12 \cdot 1}}$

Step 1

Combine

1500

$1500$ and

\frac{0.125}{12}

$\frac{0.125}{12}$ .

\frac{\frac{1500 \cdot 0.125}{12}}{1 - {(1 + \frac{0.125}{12})}^{- 12 \cdot 1}}

$\frac{\frac{1500 \cdot 0.125}{12}}{1 - {(1 + \frac{0.125}{12})}^{- 12 \cdot 1}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide

0.125

$0.125$ by

12

$12$ .

\frac{\frac{1500 \cdot 0.125}{12}}{1 - {(1 + 0.01041 ¯ 6)}^{- 12 \cdot 1}}

$\frac{\frac{1500 \cdot 0.125}{12}}{1 - {(1 + 0.01041\overline{6})}^{- 12 \cdot 1}}$

Step 2.2

Add

1

$1$ and

0.01041 ¯ 6

$0.01041\overline{6}$ .

\frac{\frac{1500 \cdot 0.125}{12}}{1 - {1.01041 ¯ 6}^{- 12 \cdot 1}}

$\frac{\frac{1500 \cdot 0.125}{12}}{1 - {1.01041\overline{6}}^{- 12 \cdot 1}}$

Step 2.3

Multiply

- 12

$- 12$ by

1

$1$ .

\frac{\frac{1500 \cdot 0.125}{12}}{1 - {1.01041 ¯ 6}^{- 12}}

$\frac{\frac{1500 \cdot 0.125}{12}}{1 - {1.01041\overline{6}}^{- 12}}$

Step 2.4

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{\frac{1500 \cdot 0.125}{12}}{1 - \frac{1}{{1.01041 ¯ 6}^{12}}}

$\frac{\frac{1500 \cdot 0.125}{12}}{1 - \frac{1}{{1.01041\overline{6}}^{12}}}$

Step 2.5

Raise

1.01041 ¯ 6

$1.01041\overline{6}$ to the power of

12

$12$ .

\frac{\frac{1500 \cdot 0.125}{12}}{1 - \frac{1}{1.13241604}}

$\frac{\frac{1500 \cdot 0.125}{12}}{1 - \frac{1}{1.13241604}}$

Step 2.6

Divide

1

$1$ by

1.13241604

$1.13241604$ .

\frac{\frac{1500 \cdot 0.125}{12}}{1 - 1 \cdot 0.88306767}

$\frac{\frac{1500 \cdot 0.125}{12}}{1 - 1 \cdot 0.88306767}$

Step 2.7

Multiply

- 1

$- 1$ by

0.88306767

$0.88306767$ .

\frac{\frac{1500 \cdot 0.125}{12}}{1 - 0.88306767}

$\frac{\frac{1500 \cdot 0.125}{12}}{1 - 0.88306767}$

Step 2.8

Subtract

0.88306767

$0.88306767$ from

1

$1$ .

\frac{\frac{1500 \cdot 0.125}{12}}{0.11693232}

$\frac{\frac{1500 \cdot 0.125}{12}}{0.11693232}$

\frac{\frac{1500 \cdot 0.125}{12}}{0.11693232}

$\frac{\frac{1500 \cdot 0.125}{12}}{0.11693232}$

Step 3

Simplify the expression.

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Step 3.1

Multiply

1500

$1500$ by

0.125

$0.125$ .

\frac{\frac{187.5}{12}}{0.11693232}

$\frac{\frac{187.5}{12}}{0.11693232}$

Step 3.2

Divide

187.5

$187.5$ by

12

$12$ .

\frac{15.625}{0.11693232}

$\frac{15.625}{0.11693232}$

Step 3.3

Divide

15.625

$15.625$ by

0.11693232

$0.11693232$ .

133.62429406

$133.62429406$

133.62429406

$133.62429406$