Basic Math Examples

$4$ , $8$ , $12$ , $0$ , $2$ , $20$ , $18$ , $0$ , $12$ , $6$ , $12$ , $16$ , $10$ , $8$ , $12$ , $4$

Step 1

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

$\frac{4 + 8 + 12 + 0 + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2

Cancel the common factor of $4 + 8 + 12 + 0 + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4$ and $16$ .

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Step 2.1

Factor $2$ out of $4$ .

$\frac{2 (2) + 8 + 12 + 0 + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.2

Factor $2$ out of $8$ .

$\frac{2 \cdot 2 + 2 \cdot 4 + 12 + 0 + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.3

Factor $2$ out of $2 \cdot 2 + 2 \cdot 4$ .

$\frac{2 \cdot (2 + 4) + 12 + 0 + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.4

Factor $2$ out of $12$ .

$\frac{2 \cdot (2 + 4) + 2 (6) + 0 + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.5

Factor $2$ out of $2 \cdot (2 + 4) + 2 (6)$ .

$\frac{2 \cdot (2 + 4 + 6) + 0 + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.6

Factor $2$ out of $0$ .

$\frac{2 \cdot (2 + 4 + 6) + 2 (0) + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.7

Factor $2$ out of $2 \cdot (2 + 4 + 6) + 2 (0)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0) + 2 + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.8

Factor $2$ out of $2$ .

$\frac{2 \cdot (2 + 4 + 6 + 0) + 2 (1) + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.9

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0) + 2 (1)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1) + 20 + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.10

Factor $2$ out of $20$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1) + 2 (10) + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.11

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1) + 2 (10)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10) + 18 + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.12

Factor $2$ out of $18$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10) + 2 (9) + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.13

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10) + 2 (9)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9) + 0 + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.14

Factor $2$ out of $0$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9) + 2 (0) + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.15

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9) + 2 (0)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0) + 12 + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.16

Factor $2$ out of $12$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0) + 2 (6) + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.17

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0) + 2 (6)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6) + 6 + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.18

Factor $2$ out of $6$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6) + 2 (3) + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.19

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6) + 2 (3)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3) + 12 + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.20

Factor $2$ out of $12$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3) + 2 (6) + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.21

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3) + 2 (6)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6) + 16 + 10 + 8 + 12 + 4}{16}$

Step 2.22

Factor $2$ out of $16$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6) + 2 (8) + 10 + 8 + 12 + 4}{16}$

Step 2.23

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6) + 2 (8)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8) + 10 + 8 + 12 + 4}{16}$

Step 2.24

Factor $2$ out of $10$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8) + 2 (5) + 8 + 12 + 4}{16}$

Step 2.25

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8) + 2 (5)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5) + 8 + 12 + 4}{16}$

Step 2.26

Factor $2$ out of $8$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5) + 2 (4) + 12 + 4}{16}$

Step 2.27

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5) + 2 (4)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4) + 12 + 4}{16}$

Step 2.28

Factor $2$ out of $12$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4) + 2 (6) + 4}{16}$

Step 2.29

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4) + 2 (6)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6) + 4}{16}$

Step 2.30

Factor $2$ out of $4$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6) + 2 (2)}{16}$

Step 2.31

Factor $2$ out of $2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6) + 2 (2)$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2)}{16}$

Step 2.32

Cancel the common factors.

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Step 2.32.1

Factor $2$ out of $16$ .

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2)}{2 (8)}$

Step 2.32.2

Cancel the common factor.

$\frac{2 \cdot (2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2)}{2 \cdot 8}$

Step 2.32.3

Rewrite the expression.

$\frac{2 + 4 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3

Simplify the numerator.

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Step 3.1

Add $2$ and $4$ .

$\frac{6 + 6 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.2

Add $6$ and $6$ .

$\frac{12 + 0 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.3

Add $12$ and $0$ .

$\frac{12 + 1 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.4

Add $12$ and $1$ .

$\frac{13 + 10 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.5

Add $13$ and $10$ .

$\frac{23 + 9 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.6

Add $23$ and $9$ .

$\frac{32 + 0 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.7

Add $32$ and $0$ .

$\frac{32 + 6 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.8

Add $32$ and $6$ .

$\frac{38 + 3 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.9

Add $38$ and $3$ .

$\frac{41 + 6 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.10

Add $41$ and $6$ .

$\frac{47 + 8 + 5 + 4 + 6 + 2}{8}$

Step 3.11

Add $47$ and $8$ .

$\frac{55 + 5 + 4 + 6 + 2}{8}$

Step 3.12

Add $55$ and $5$ .

$\frac{60 + 4 + 6 + 2}{8}$

Step 3.13

Add $60$ and $4$ .

$\frac{64 + 6 + 2}{8}$

Step 3.14

Add $64$ and $6$ .

$\frac{70 + 2}{8}$

Step 3.15

Add $70$ and $2$ .

$\frac{72}{8}$

Step 4

Divide $72$ by $8$ .

$9$