Basic Math Examples

$\frac{(13995) (\frac{0.045}{12}) (1 + \frac{0.045}{12}) \cdot 12 \cdot 4}{(1 + \frac{0.045}{12}) \cdot 12 \cdot 4 - 1}$

Step 1

Simplify the numerator.

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Step 1.1

Combine $13995$ and $\frac{0.045}{12}$ .

$\frac{\frac{13995 \cdot 0.045}{12} \cdot (1 + \frac{0.045}{12}) \cdot 12 \cdot 4}{(1 + \frac{0.045}{12}) \cdot 12 \cdot 4 - 1}$

Step 1.2

Combine $12$ and $\frac{13995 \cdot 0.045}{12}$ .

$\frac{\frac{12 (13995 \cdot 0.045)}{12} \cdot (1 + \frac{0.045}{12}) \cdot 4}{(1 + \frac{0.045}{12}) \cdot 12 \cdot 4 - 1}$

Step 1.3

Combine $4$ and $\frac{12 (13995 \cdot 0.045)}{12}$ .

$\frac{\frac{4 (12 (13995 \cdot 0.045))}{12} \cdot (1 + \frac{0.045}{12})}{(1 + \frac{0.045}{12}) \cdot 12 \cdot 4 - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.045$ by $12$ .

$\frac{\frac{4 (12 (13995 \cdot 0.045))}{12} \cdot (1 + \frac{0.045}{12})}{(1 + 0.00375) \cdot 12 \cdot 4 - 1}$

Step 2.2

Add $1$ and $0.00375$ .

$\frac{\frac{4 (12 (13995 \cdot 0.045))}{12} \cdot (1 + \frac{0.045}{12})}{1.00375 \cdot 12 \cdot 4 - 1}$

Step 2.3

Multiply $1.00375 \cdot 12 \cdot 4$ .

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Step 2.3.1

Multiply $1.00375$ by $12$ .

$\frac{\frac{4 (12 (13995 \cdot 0.045))}{12} \cdot (1 + \frac{0.045}{12})}{12.045 \cdot 4 - 1}$

Step 2.3.2

Multiply $12.045$ by $4$ .

$\frac{\frac{4 (12 (13995 \cdot 0.045))}{12} \cdot (1 + \frac{0.045}{12})}{48.18 - 1}$

Step 2.4

Subtract $1$ from $48.18$ .

$\frac{\frac{4 (12 (13995 \cdot 0.045))}{12} \cdot (1 + \frac{0.045}{12})}{47.18}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $4$ by $12$ .

$\frac{\frac{48 \cdot 13995 \cdot 0.045}{12} \cdot (1 + \frac{0.045}{12})}{47.18}$

Step 3.2

Multiply $48$ by $13995$ .

$\frac{\frac{671760 \cdot 0.045}{12} \cdot (1 + \frac{0.045}{12})}{47.18}$

Step 3.3

Multiply $671760$ by $0.045$ .

$\frac{\frac{30229.2}{12} \cdot (1 + \frac{0.045}{12})}{47.18}$

Step 4

Simplify the numerator.

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Step 4.1

Divide $30229.2$ by $12$ .

$\frac{2519.1 (1 + \frac{0.045}{12})}{47.18}$

Step 4.2

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

$\frac{2519.1 (\frac{12}{12} + \frac{0.045}{12})}{47.18}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{2519.1 \frac{12 + 0.045}{12}}{47.18}$

Step 4.4

Rewrite $\frac{12 + 0.045}{12}$ in a factored form.

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Step 4.4.1

Add $12$ and $0.045$ .

$\frac{2519.1 (\frac{12.045}{12})}{47.18}$

Step 4.4.2

Divide $12.045$ by $12$ .

$\frac{2519.1 \cdot 1.00375}{47.18}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $2519.1$ by $1.00375$ .

$\frac{2528.546625}{47.18}$

Step 5.2

Divide $2528.546625$ by $47.18$ .

$53.59361222$