Basic Math Examples

$\frac{14}{21}$ , $\frac{8}{12}$

Step 1

Cancel the common factor of $14$ and $21$ .

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Step 1.1

Factor $7$ out of $14$ .

$\frac{7 (2)}{21}, \frac{8}{12}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $7$ out of $21$ .

$\frac{7 \cdot 2}{7 \cdot 3}, \frac{8}{12}$

Step 1.2.2

Cancel the common factor.

$\frac{7 \cdot 2}{7 \cdot 3}, \frac{8}{12}$

Step 1.2.3

Rewrite the expression.

$\frac{2}{3}, \frac{8}{12}$

Step 2

Cancel the common factor of $8$ and $12$ .

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Step 2.1

Factor $4$ out of $8$ .

$\frac{2}{3}, \frac{4 (2)}{12}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $12$ .

$\frac{2}{3}, \frac{4 \cdot 2}{4 \cdot 3}$

Step 2.2.2

Cancel the common factor.

$\frac{2}{3}, \frac{4 \cdot 2}{4 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{2}{3}, \frac{2}{3}$

Step 3

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

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

Step 4

Simplify the numerator.

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Step 4.1

Combine the numerators over the common denominator.

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

Step 4.2

Add $2$ and $2$ .

$\frac{\frac{4}{3}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{3} \cdot \frac{1}{2}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{3} \cdot \frac{1}{2}$

Step 6.2

Cancel the common factor.

$\frac{2 \cdot 2}{3} \cdot \frac{1}{2}$

Step 6.3

Rewrite the expression.

$\frac{2}{3}$

Step 7

Divide.

$0.\overline{6}$

Step 8

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.

$0.7$