Finite Math Examples

$800 (1 + 0.09 (\frac{1}{3}))$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $0.03$ .

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Step 1.1.1

Factor $0.03$ out of $0.09$ .

$800 (1 + 0.03 (3) \frac{1}{3})$

Step 1.1.2

Factor $0.03$ out of $3$ .

$800 (1 + 0.03 \cdot 3 \frac{1}{0.03 \cdot 100})$

Step 1.1.3

Cancel the common factor.

$800 (1 + 0.03 \cdot 3 \frac{1}{0.03 \cdot 100})$

Step 1.1.4

Rewrite the expression.

$800 (1 + 3 (\frac{1}{100}))$

Step 1.2

Combine $3$ and $\frac{1}{100}$ .

$800 (1 + \frac{3}{100})$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

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

$800 (\frac{100}{100} + \frac{3}{100})$

Step 2.2

Simplify the expression.

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Step 2.2.1

Combine the numerators over the common denominator.

$800 \frac{100 + 3}{100}$

Step 2.2.2

Add $100$ and $3$ .

$800 (\frac{103}{100})$

Step 2.3

Cancel the common factor of $100$ .

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Step 2.3.1

Factor $100$ out of $800$ .

$100 (8) \frac{103}{100}$

Step 2.3.2

Cancel the common factor.

$100 \cdot 8 \frac{103}{100}$

Step 2.3.3

Rewrite the expression.

$8 \cdot 103$

Step 2.4

Multiply $8$ by $103$ .

$824$