Basic Math Examples

$3$ , $6$ , $9$ , $15$ , $21$ , $33$

Step 1

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

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

Step 2

Cancel the common factor of $3 + 6 + 9 + 15 + 21 + 33$ and $6$ .

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Step 2.1

Factor $3$ out of $3$ .

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

Step 2.2

Factor $3$ out of $6$ .

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

Step 2.3

Factor $3$ out of $3 \cdot 1 + 3 \cdot 2$ .

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

Step 2.4

Factor $3$ out of $9$ .

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

Step 2.5

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

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

Step 2.6

Factor $3$ out of $15$ .

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

Step 2.7

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

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

Step 2.8

Factor $3$ out of $21$ .

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

Step 2.9

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

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

Step 2.10

Factor $3$ out of $33$ .

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

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.

$14.5$