Basic Math Examples

3

$3$ ,

6

$6$ ,

9

$9$ ,

15

$15$ ,

21

$21$ ,

33

$33$

Step 1

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

\frac{3 + 6 + 9 + 15 + 21 + 33}{6}

$\frac{3 + 6 + 9 + 15 + 21 + 33}{6}$

Step 2

Cancel the common factor of

3 + 6 + 9 + 15 + 21 + 33

$3 + 6 + 9 + 15 + 21 + 33$ and

6

$6$ .

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Step 2.1

Factor

3

$3$ out of

3

$3$ .

\frac{3 (1) + 6 + 9 + 15 + 21 + 33}{6}

$\frac{3 (1) + 6 + 9 + 15 + 21 + 33}{6}$

Step 2.2

Factor

3

$3$ out of

6

$6$ .

\frac{3 \cdot 1 + 3 \cdot 2 + 9 + 15 + 21 + 33}{6}

$\frac{3 \cdot 1 + 3 \cdot 2 + 9 + 15 + 21 + 33}{6}$

Step 2.3

Factor

3

$3$ out of

3 \cdot 1 + 3 \cdot 2

$3 \cdot 1 + 3 \cdot 2$ .

\frac{3 \cdot (1 + 2) + 9 + 15 + 21 + 33}{6}

$\frac{3 \cdot (1 + 2) + 9 + 15 + 21 + 33}{6}$

Step 2.4

Factor

3

$3$ out of

9

$9$ .

\frac{3 \cdot (1 + 2) + 3 (3) + 15 + 21 + 33}{6}

$\frac{3 \cdot (1 + 2) + 3 (3) + 15 + 21 + 33}{6}$

Step 2.5

Factor

3

$3$ out of

3 \cdot (1 + 2) + 3 (3)

$3 \cdot (1 + 2) + 3 (3)$ .

\frac{3 \cdot (1 + 2 + 3) + 15 + 21 + 33}{6}

$\frac{3 \cdot (1 + 2 + 3) + 15 + 21 + 33}{6}$

Step 2.6

Factor

3

$3$ out of

15

$15$ .

\frac{3 \cdot (1 + 2 + 3) + 3 (5) + 21 + 33}{6}

$\frac{3 \cdot (1 + 2 + 3) + 3 (5) + 21 + 33}{6}$

Step 2.7

Factor

3

$3$ out of

3 \cdot (1 + 2 + 3) + 3 (5)

$3 \cdot (1 + 2 + 3) + 3 (5)$ .

\frac{3 \cdot (1 + 2 + 3 + 5) + 21 + 33}{6}

$\frac{3 \cdot (1 + 2 + 3 + 5) + 21 + 33}{6}$

Step 2.8

Factor

3

$3$ out of

21

$21$ .

\frac{3 \cdot (1 + 2 + 3 + 5) + 3 (7) + 33}{6}

$\frac{3 \cdot (1 + 2 + 3 + 5) + 3 (7) + 33}{6}$

Step 2.9

Factor

3

$3$ out of

3 \cdot (1 + 2 + 3 + 5) + 3 (7)

$3 \cdot (1 + 2 + 3 + 5) + 3 (7)$ .

\frac{3 \cdot (1 + 2 + 3 + 5 + 7) + 33}{6}

$\frac{3 \cdot (1 + 2 + 3 + 5 + 7) + 33}{6}$

Step 2.10

Factor

3

$3$ out of

33

$33$ .

\frac{3 \cdot (1 + 2 + 3 + 5 + 7) + 3 (11)}{6}

$\frac{3 \cdot (1 + 2 + 3 + 5 + 7) + 3 (11)}{6}$

Step 2.11

Factor

$3$ out of

$3 \cdot (1 + 2 + 3 + 5 + 7) + 3 (11)$ .

$\frac{3 \cdot (1 + 2 + 3 + 5 + 7 + 11)}{6}$

Step 2.12

Cancel the common factors.

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Step 2.12.1

Factor

$3$ out of

$6$ .

$\frac{3 \cdot (1 + 2 + 3 + 5 + 7 + 11)}{3 (2)}$

Step 2.12.2

Cancel the common factor.

$\frac{3 \cdot (1 + 2 + 3 + 5 + 7 + 11)}{3 \cdot 2}$

Step 2.12.3

Rewrite the expression.

$\frac{1 + 2 + 3 + 5 + 7 + 11}{2}$

Step 3

Simplify the numerator.

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Step 3.1

Add

$1$ and

$2$ .

$\frac{3 + 3 + 5 + 7 + 11}{2}$

Step 3.2

Add

$3$ and

$3$ .

$\frac{6 + 5 + 7 + 11}{2}$

Step 3.3

Add

$6$ and

$5$ .

$\frac{11 + 7 + 11}{2}$

Step 3.4

Add

$11$ and

$7$ .

$\frac{18 + 11}{2}$

Step 3.5

Add

$18$ and

$11$ .

$\frac{29}{2}$

Step 4

Divide.

$14.5$