Finite Math Examples

$3200 (1 + 0.1 (1 \frac{1}{4}))$

Step 1

Convert $1 \frac{1}{4}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$3200 (1 + 0.1 (1 + \frac{1}{4}))$

Step 1.2

Add $1$ and $\frac{1}{4}$ .

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Step 1.2.1

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

$3200 (1 + 0.1 (\frac{4}{4} + \frac{1}{4}))$

Step 1.2.2

Combine the numerators over the common denominator.

$3200 (1 + 0.1 \frac{4 + 1}{4})$

Step 1.2.3

Add $4$ and $1$ .

$3200 (1 + 0.1 (\frac{5}{4}))$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $0.1$ .

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Step 2.1.1

Factor $0.1$ out of $4$ .

$3200 (1 + 0.1 \frac{5}{0.1 (40)})$

Step 2.1.2

Cancel the common factor.

$3200 (1 + 0.1 \frac{5}{0.1 \cdot 40})$

Step 2.1.3

Rewrite the expression.

$3200 (1 + \frac{5}{40})$

Step 2.2

Cancel the common factor of $5$ and $40$ .

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Step 2.2.1

Factor $5$ out of $5$ .

$3200 (1 + \frac{5 (1)}{40})$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $5$ out of $40$ .

$3200 (1 + \frac{5 \cdot 1}{5 \cdot 8})$

Step 2.2.2.2

Cancel the common factor.

$3200 (1 + \frac{5 \cdot 1}{5 \cdot 8})$

Step 2.2.2.3

Rewrite the expression.

$3200 (1 + \frac{1}{8})$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

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

$3200 (\frac{8}{8} + \frac{1}{8})$

Step 3.2

Simplify the expression.

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Step 3.2.1

Combine the numerators over the common denominator.

$3200 \frac{8 + 1}{8}$

Step 3.2.2

Add $8$ and $1$ .

$3200 (\frac{9}{8})$

Step 3.3

Cancel the common factor of $8$ .

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Step 3.3.1

Factor $8$ out of $3200$ .

$8 (400) \frac{9}{8}$

Step 3.3.2

Cancel the common factor.

$8 \cdot 400 \frac{9}{8}$

Step 3.3.3

Rewrite the expression.

$400 \cdot 9$

Step 3.4

Multiply $400$ by $9$ .

$3600$