Finite Math Examples

$1800 (1 + 0.09 \cdot \frac{7}{12})$

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 $0.09$ .

$1800 (1 + 0.03 (3) \cdot \frac{7}{12})$

Step 1.1.2

Factor $0.03$ out of $12$ .

$1800 (1 + 0.03 \cdot 3 \cdot \frac{7}{0.03 \cdot 400})$

Step 1.1.3

Cancel the common factor.

$1800 (1 + 0.03 \cdot 3 \cdot \frac{7}{0.03 \cdot 400})$

Step 1.1.4

Rewrite the expression.

$1800 (1 + 3 \cdot \frac{7}{400})$

Step 1.2

Combine $3$ and $\frac{7}{400}$ .

$1800 (1 + \frac{3 \cdot 7}{400})$

Step 1.3

Multiply $3$ by $7$ .

$1800 (1 + \frac{21}{400})$

Step 2

Simplify terms.

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Step 2.1

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

$1800 (\frac{400}{400} + \frac{21}{400})$

Step 2.2

Simplify the expression.

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Step 2.2.1

Combine the numerators over the common denominator.

$1800 \frac{400 + 21}{400}$

Step 2.2.2

Add $400$ and $21$ .

$1800 (\frac{421}{400})$

Step 2.3

Cancel the common factor of $200$ .

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Step 2.3.1

Factor $200$ out of $1800$ .

$200 (9) \frac{421}{400}$

Step 2.3.2

Factor $200$ out of $400$ .

$200 \cdot 9 \frac{421}{200 \cdot 2}$

Step 2.3.3

Cancel the common factor.

$200 \cdot 9 \frac{421}{200 \cdot 2}$

Step 2.3.4

Rewrite the expression.

$9 (\frac{421}{2})$

Step 2.4

Combine $9$ and $\frac{421}{2}$ .

$\frac{9 \cdot 421}{2}$

Step 2.5

Multiply $9$ by $421$ .

$\frac{3789}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3789}{2}$

Decimal Form:

$1894.5$

Mixed Number Form:

$1894 \frac{1}{2}$