Finite Math Examples

$27$ , $- 45$ , $75$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{27 - 45 + 75}{3}$

Step 2

Cancel the common factor of $27 - 45 + 75$ and $3$ .

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Step 2.1

Factor $3$ out of $27$ .

$\frac{3 \cdot 9 - 45 + 75}{3}$

Step 2.2

Factor $3$ out of $- 45$ .

$\frac{3 \cdot 9 + 3 \cdot - 15 + 75}{3}$

Step 2.3

Factor $3$ out of $3 \cdot 9 + 3 \cdot - 15$ .

$\frac{3 \cdot (9 - 15) + 75}{3}$

Step 2.4

Factor $3$ out of $75$ .

$\frac{3 \cdot (9 - 15) + 3 \cdot 25}{3}$

Step 2.5

Factor $3$ out of $3 \cdot (9 - 15) + 3 (25)$ .

$\frac{3 \cdot (9 - 15 + 25)}{3}$

Step 2.6

Cancel the common factors.

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Step 2.6.1

Factor $3$ out of $3$ .

$\frac{3 \cdot (9 - 15 + 25)}{3 (1)}$

Step 2.6.2

Cancel the common factor.

$\frac{3 \cdot (9 - 15 + 25)}{3 \cdot 1}$

Step 2.6.3

Rewrite the expression.

$\frac{9 - 15 + 25}{1}$

Step 2.6.4

Divide $9 - 15 + 25$ by $1$ .

$9 - 15 + 25$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $15$ from $9$ .

$- 6 + 25$

Step 3.2

Add $- 6$ and $25$ .

$19$