Finite Math Examples

$800 (1 - (1 + \frac{0.09}{0.09} - 17))$

Step 1

Simplify each term.

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Step 1.1

Find the common denominator.

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Step 1.1.1

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

$800 (1 - (\frac{1}{1} + \frac{0.09}{0.09} - 17))$

Step 1.1.2

Multiply $\frac{1}{1}$ by $\frac{9}{9}$ .

$800 (1 - (\frac{1}{1} \cdot \frac{9}{9} + \frac{0.09}{0.09} - 17))$

Step 1.1.3

Multiply $\frac{1}{1}$ by $\frac{9}{9}$ .

$800 (1 - (\frac{9}{9} + \frac{0.09}{0.09} - 17))$

Step 1.1.4

Multiply $\frac{0.09}{0.09}$ by $\frac{\frac{9}{0.09}}{\frac{9}{0.09}}$ .

$800 (1 - (\frac{9}{9} + \frac{0.09}{0.09} \cdot \frac{\frac{9}{0.09}}{\frac{9}{0.09}} - 17))$

Step 1.1.5

Multiply $\frac{0.09}{0.09}$ by $\frac{\frac{9}{0.09}}{\frac{9}{0.09}}$ .

$800 (1 - (\frac{9}{9} + \frac{0.09 (\frac{9}{0.09})}{0.09 (\frac{9}{0.09})} - 17))$

Step 1.1.6

Write $- 17$ as a fraction with denominator $1$ .

$800 (1 - (\frac{9}{9} + \frac{0.09 (\frac{9}{0.09})}{0.09 (\frac{9}{0.09})} + \frac{- 17}{1}))$

Step 1.1.7

Multiply $\frac{- 17}{1}$ by $\frac{9}{9}$ .

$800 (1 - (\frac{9}{9} + \frac{0.09 (\frac{9}{0.09})}{0.09 (\frac{9}{0.09})} + \frac{- 17}{1} \cdot \frac{9}{9}))$

Step 1.1.8

Multiply $\frac{- 17}{1}$ by $\frac{9}{9}$ .

$800 (1 - (\frac{9}{9} + \frac{0.09 (\frac{9}{0.09})}{0.09 (\frac{9}{0.09})} + \frac{- 17 \cdot 9}{9}))$

Step 1.1.9

Combine $0.09$ and $\frac{9}{0.09}$ .

$800 (1 - (\frac{9}{9} + \frac{0.09 (\frac{9}{0.09})}{\frac{0.09 \cdot 9}{0.09}} + \frac{- 17 \cdot 9}{9}))$

Step 1.1.10

Multiply $0.09$ by $9$ .

$800 (1 - (\frac{9}{9} + \frac{0.09 (\frac{9}{0.09})}{\frac{0.81}{0.09}} + \frac{- 17 \cdot 9}{9}))$

Step 1.2

Combine the numerators over the common denominator.

$800 (1 - (\frac{9 - 17 \cdot 9}{9} + \frac{0.09 (\frac{9}{0.09})}{\frac{0.81}{0.09}}))$

Step 1.3

Multiply $- 17$ by $9$ .

$800 (1 - (\frac{9 - 153}{9} + \frac{0.09 (\frac{9}{0.09})}{\frac{0.81}{0.09}}))$

Step 1.4

Subtract $153$ from $9$ .

$800 (1 - (\frac{- 144}{9} + \frac{0.09 (\frac{9}{0.09})}{\frac{0.81}{0.09}}))$

Step 1.5

Simplify each term.

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Step 1.5.1

Divide $- 144$ by $9$ .

$800 (1 - (- 16 + \frac{0.09 (\frac{9}{0.09})}{\frac{0.81}{0.09}}))$

Step 1.5.2

Multiply the numerator by the reciprocal of the denominator.

$800 (1 - (- 16 + 0.09 (\frac{9}{0.09}) \frac{0.09}{0.81}))$

Step 1.5.3

Cancel the common factor of $0.09$ .

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Step 1.5.3.1

Factor $0.09$ out of $0.81$ .

$800 (1 - (- 16 + 0.09 (\frac{9}{0.09}) \frac{0.09}{0.09 (9)}))$

Step 1.5.3.2

Cancel the common factor.

$800 (1 - (- 16 + 0.09 (\frac{9}{0.09}) \frac{0.09}{0.09 \cdot 9}))$

Step 1.5.3.3

Rewrite the expression.

$800 (1 - (- 16 + \frac{9}{0.09} \cdot \frac{0.09}{9}))$

Step 1.5.4

Multiply $\frac{9}{0.09}$ by $\frac{0.09}{9}$ .

$800 (1 - (- 16 + \frac{9 \cdot 0.09}{0.09 \cdot 9}))$

Step 1.5.5

Multiply $9$ by $0.09$ .

$800 (1 - (- 16 + \frac{0.81}{0.09 \cdot 9}))$

Step 1.5.6

Multiply $0.09$ by $9$ .

$800 (1 - (- 16 + \frac{0.81}{0.81}))$

Step 1.5.7

Divide $0.81$ by $0.81$ .

$800 (1 - (- 16 + 1))$

Step 1.6

Add $- 16$ and $1$ .

$800 (1 - - 15)$

Step 1.7

Multiply $- 1$ by $- 15$ .

$800 (1 + 15)$

Step 2

Simplify the expression.

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Step 2.1

Add $1$ and $15$ .

$800 \cdot 16$

Step 2.2

Multiply $800$ by $16$ .

$12800$