Finite Math Examples

$\frac{1000}{(1 + \frac{0.12}{360}) \cdot (360 (1))}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $1000$ and $360$ .

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Step 1.1.1

Factor $40$ out of $1000$ .

$\frac{40 (25)}{(1 + \frac{0.12}{360}) \cdot (360 (1))}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $40$ out of $(1 + \frac{0.12}{360}) \cdot (360 (1))$ .

$\frac{40 (25)}{40 ((1 + \frac{0.12}{360}) \cdot (9 \cdot 1))}$

Step 1.1.2.2

Cancel the common factor.

$\frac{40 \cdot 25}{40 ((1 + \frac{0.12}{360}) \cdot (9 \cdot 1))}$

Step 1.1.2.3

Rewrite the expression.

$\frac{25}{(1 + \frac{0.12}{360}) \cdot (9 \cdot 1)}$

Step 1.2

Multiply $1 + \frac{0.12}{360}$ by $1$ .

$\frac{25}{9 \cdot (1 + \frac{0.12}{360})}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{25}{9 (\frac{360}{360} + \frac{0.12}{360})}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{25}{9 \frac{360 + 0.12}{360}}$

Step 2.3

Rewrite $\frac{360 + 0.12}{360}$ in a factored form.

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Step 2.3.1

Add $360$ and $0.12$ .

$\frac{25}{9 (\frac{360.12}{360})}$

Step 2.3.2

Divide $360.12$ by $360$ .

$\frac{25}{9 \cdot 1.000\overline{3}}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $9$ by $1.000\overline{3}$ .

$\frac{25}{9.003}$

Step 3.2

Divide $25$ by $9.003$ .

$2.77685216$