Basic Math Examples

$\frac{1000}{4} \cdot \frac{1 - (\frac{1}{{(1 + \frac{0.17}{4})}^{16}})}{\frac{0.17}{4}}$

Step 1

Simplify the denominator.

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Step 1.1

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

$\frac{1000}{4} \cdot \frac{1 - \frac{1}{{(\frac{4}{4} + \frac{0.17}{4})}^{16}}}{\frac{0.17}{4}}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{1000}{4} \cdot \frac{1 - \frac{1}{{(\frac{4 + 0.17}{4})}^{16}}}{\frac{0.17}{4}}$

Step 1.3

Rewrite $\frac{4 + 0.17}{4}$ in a factored form.

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Step 1.3.1

Add $4$ and $0.17$ .

$\frac{1000}{4} \cdot \frac{1 - \frac{1}{{(\frac{4.17}{4})}^{16}}}{\frac{0.17}{4}}$

Step 1.3.2

Divide $4.17$ by $4$ .

$\frac{1000}{4} \cdot \frac{1 - \frac{1}{{1.0425}^{16}}}{\frac{0.17}{4}}$

Step 1.4

Raise $1.0425$ to the power of $16$ .

$\frac{1000}{4} \cdot \frac{1 - \frac{1}{1.94633242}}{\frac{0.17}{4}}$

Step 2

Simplify the numerator.

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Step 2.1

Divide $1$ by $1.94633242$ .

$\frac{1000}{4} \cdot \frac{1 - 1 \cdot 0.51378684}{\frac{0.17}{4}}$

Step 2.2

Multiply $- 1$ by $0.51378684$ .

$\frac{1000}{4} \cdot \frac{1 - 0.51378684}{\frac{0.17}{4}}$

Step 2.3

Subtract $0.51378684$ from $1$ .

$\frac{1000}{4} \cdot \frac{0.48621315}{\frac{0.17}{4}}$

Step 3

Simplify the expression.

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Step 3.1

Divide $0.17$ by $4$ .

$\frac{1000}{4} \cdot \frac{0.48621315}{0.0425}$

Step 3.2

Divide $1000$ by $4$ .

$250 \cdot \frac{0.48621315}{0.0425}$

Step 3.3

Divide $0.48621315$ by $0.0425$ .

$250 \cdot 11.44030949$

Step 3.4

Multiply $250$ by $11.44030949$ .

$2860.0773735$