Finite Math Examples

$\frac{95000 (\frac{0.09}{12})}{1 - (\frac{12}{12 + 0.09})}$

Step 1

Combine fractions.

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Step 1.1

Add $12$ and $0.09$ .

$\frac{95000 (\frac{0.09}{12})}{1 - \frac{12}{12.09}}$

Step 1.2

Combine $95000$ and $\frac{0.09}{12}$ .

$\frac{\frac{95000 \cdot 0.09}{12}}{1 - \frac{12}{12.09}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $12$ by $12.09$ .

$\frac{\frac{95000 \cdot 0.09}{12}}{1 - 1 \cdot 0.99255583}$

Step 2.2

Multiply $- 1$ by $0.99255583$ .

$\frac{\frac{95000 \cdot 0.09}{12}}{1 - 0.99255583}$

Step 2.3

Subtract $0.99255583$ from $1$ .

$\frac{\frac{95000 \cdot 0.09}{12}}{0.00744416}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $95000$ by $0.09$ .

$\frac{\frac{8550}{12}}{0.00744416}$

Step 3.2

Cancel the common factor of $8550$ and $12$ .

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Step 3.2.1

Factor $6$ out of $8550$ .

$\frac{\frac{6 (1425)}{12}}{0.00744416}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $6$ out of $12$ .

$\frac{\frac{6 \cdot 1425}{6 \cdot 2}}{0.00744416}$

Step 3.2.2.2

Cancel the common factor.

$\frac{\frac{6 \cdot 1425}{6 \cdot 2}}{0.00744416}$

Step 3.2.2.3

Rewrite the expression.

$\frac{\frac{1425}{2}}{0.00744416}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{1425}{2} \cdot \frac{1}{0.00744416}$

Step 5

Divide $1$ by $0.00744416$ .

$\frac{1425}{2} \cdot 134.\overline{3}$

Step 6

Multiply $\frac{1425}{2} \cdot 134.\overline{3}$ .

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Step 6.1

Combine $\frac{1425}{2}$ and $134.\overline{3}$ .

$\frac{1425 \cdot 134.\overline{3}}{2}$

Step 6.2

Multiply $1425$ by $134.\overline{3}$ .

$\frac{191425}{2}$

Step 7

Divide $191425$ by $2$ .

$95712.4\overline{9}$