Finite Math Examples

$p = 3000 (1 + \frac{5}{2}) (2) (5)$

Step 1

Simplify the expression.

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Step 1.1

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

$p = 3000 (\frac{2}{2} + \frac{5}{2}) \cdot 2 \cdot 5$

Step 1.2

Combine the numerators over the common denominator.

$p = 3000 \frac{2 + 5}{2} \cdot 2 \cdot 5$

Step 1.3

Add $2$ and $5$ .

$p = 3000 (\frac{7}{2}) \cdot 2 \cdot 5$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $3000$ .

$p = 2 (1500) \frac{7}{2} \cdot 2 \cdot 5$

Step 2.2

Cancel the common factor.

$p = 2 \cdot 1500 \frac{7}{2} \cdot 2 \cdot 5$

Step 2.3

Rewrite the expression.

$p = 1500 \cdot 7 \cdot 2 \cdot 5$

Step 3

Multiply $1500$ by $7$ .

$p = 10500 \cdot 2 \cdot 5$

Step 4

Multiply $10500 \cdot 2 \cdot 5$ .

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Step 4.1

Multiply $10500$ by $2$ .

$p = 21000 \cdot 5$

Step 4.2

Multiply $21000$ by $5$ .

$p = 105000$