Basic Math Examples

$5$ , $- 10$ , $20$ , $5$ , $- 15$

Step 1

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

$\frac{5 - 10 + 20 + 5 - 15}{5}$

Step 2

Cancel the common factor of $5 - 10 + 20 + 5 - 15$ and $5$ .

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Step 2.1

Factor $5$ out of $5$ .

$\frac{5 \cdot 1 - 10 + 20 + 5 - 15}{5}$

Step 2.2

Factor $5$ out of $- 10$ .

$\frac{5 \cdot 1 + 5 \cdot - 2 + 20 + 5 - 15}{5}$

Step 2.3

Factor $5$ out of $5 \cdot 1 + 5 \cdot - 2$ .

$\frac{5 \cdot (1 - 2) + 20 + 5 - 15}{5}$

Step 2.4

Factor $5$ out of $20$ .

$\frac{5 \cdot (1 - 2) + 5 \cdot 4 + 5 - 15}{5}$

Step 2.5

Factor $5$ out of $5 \cdot (1 - 2) + 5 (4)$ .

$\frac{5 \cdot (1 - 2 + 4) + 5 - 15}{5}$

Step 2.6

Factor $5$ out of $5$ .

$\frac{5 \cdot (1 - 2 + 4) + 5 \cdot 1 - 15}{5}$

Step 2.7

Factor $5$ out of $5 \cdot (1 - 2 + 4) + 5 (1)$ .

$\frac{5 \cdot (1 - 2 + 4 + 1) - 15}{5}$

Step 2.8

Factor $5$ out of $- 15$ .

$\frac{5 \cdot (1 - 2 + 4 + 1) + 5 \cdot - 3}{5}$

Step 2.9

Factor $5$ out of $5 \cdot (1 - 2 + 4 + 1) + 5 (- 3)$ .

$\frac{5 \cdot (1 - 2 + 4 + 1 - 3)}{5}$

Step 2.10

Cancel the common factors.

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Step 2.10.1

Factor $5$ out of $5$ .

$\frac{5 \cdot (1 - 2 + 4 + 1 - 3)}{5 (1)}$

Step 2.10.2

Cancel the common factor.

$\frac{5 \cdot (1 - 2 + 4 + 1 - 3)}{5 \cdot 1}$

Step 2.10.3

Rewrite the expression.

$\frac{1 - 2 + 4 + 1 - 3}{1}$

Step 2.10.4

Divide $1 - 2 + 4 + 1 - 3$ by $1$ .

$1 - 2 + 4 + 1 - 3$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $2$ from $1$ .

$- 1 + 4 + 1 - 3$

Step 3.2

Add $- 1$ and $4$ .

$3 + 1 - 3$

Step 3.3

Add $3$ and $1$ .

$4 - 3$

Step 3.4

Subtract $3$ from $4$ .

$1$