Basic Math Examples

$12$ ,

$500 (9.5) (\frac{8}{12})$

Step 1

Multiply

$500$ by

$9.5$ .

$12, 4750 (\frac{8}{12})$

Step 2

Cancel the common factor of

$2$ .

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Step 2.1

Factor

$2$ out of

$4750$ .

$12, 2 (2375) (\frac{8}{12})$

Step 2.2

Factor

$2$ out of

$12$ .

$12, 2 \cdot (2375 (\frac{8}{2 \cdot 6}))$

Step 2.3

Cancel the common factor.

$12, 2 \cdot (2375 (\frac{8}{2 \cdot 6}))$

Step 2.4

Rewrite the expression.

$12, 2375 (\frac{8}{6})$

Step 3

Combine

$2375$ and

$\frac{8}{6}$ .

$12, \frac{2375 \cdot 8}{6}$

Step 4

Multiply

$2375$ by

$8$ .

$12, \frac{19000}{6}$

Step 5

Cancel the common factor of

$19000$ and

$6$ .

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Step 5.1

Factor

$2$ out of

$19000$ .

$12, \frac{2 (9500)}{6}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$2$ out of

$6$ .

$12, \frac{2 \cdot 9500}{2 \cdot 3}$

Step 5.2.2

Cancel the common factor.

$12, \frac{2 \cdot 9500}{2 \cdot 3}$

Step 5.2.3

Rewrite the expression.

$12, \frac{9500}{3}$

Step 6

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

$\frac{12 + \frac{9500}{3}}{2}$

Step 7

Cancel the common factor of

$12 + \frac{9500}{3}$ and

$2$ .

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Step 7.1

Factor

$2$ out of

$12$ .

$\frac{2 \cdot 6 + \frac{9500}{3}}{2}$

Step 7.2

Factor

$2$ out of

$\frac{9500}{3}$ .

$\frac{2 \cdot 6 + 2 (\frac{4750}{3})}{2}$

Step 7.3

Factor

$2$ out of

$2 \cdot 6 + 2 (\frac{4750}{3})$ .

$\frac{2 \cdot (6 + \frac{4750}{3})}{2}$

Step 7.4

Cancel the common factors.

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Step 7.4.1

Factor

$2$ out of

$2$ .

$\frac{2 \cdot (6 + \frac{4750}{3})}{2 (1)}$

Step 7.4.2

Cancel the common factor.

$\frac{2 \cdot (6 + \frac{4750}{3})}{2 \cdot 1}$

Step 7.4.3

Rewrite the expression.

$\frac{6 + \frac{4750}{3}}{1}$

Step 7.4.4

Divide

$6 + \frac{4750}{3}$ by

$1$ .

$6 + \frac{4750}{3}$

Step 8

To write

$6$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$6 \cdot \frac{3}{3} + \frac{4750}{3}$

Step 9

Combine

$6$ and

$\frac{3}{3}$ .

$\frac{6 \cdot 3}{3} + \frac{4750}{3}$

Step 10

Combine the numerators over the common denominator.

$\frac{6 \cdot 3 + 4750}{3}$

Step 11

Simplify the numerator.

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Step 11.1

Multiply

$6$ by

$3$ .

$\frac{18 + 4750}{3}$

Step 11.2

Add

$18$ and

$4750$ .

$\frac{4768}{3}$

Step 12

Divide.

$1589.\overline{3}$

Step 13

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$1589.3$