Basic Math Examples

$12$ , $170 \div 195$

Step 1

Rewrite the division as a fraction.

$12, \frac{170}{195}$

Step 2

Cancel the common factor of $170$ and $195$ .

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Step 2.1

Factor $5$ out of $170$ .

$12, \frac{5 (34)}{195}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $195$ .

$12, \frac{5 \cdot 34}{5 \cdot 39}$

Step 2.2.2

Cancel the common factor.

$12, \frac{5 \cdot 34}{5 \cdot 39}$

Step 2.2.3

Rewrite the expression.

$12, \frac{34}{39}$

Step 3

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

$\frac{12 + \frac{34}{39}}{2}$

Step 4

Cancel the common factor of $12 + \frac{34}{39}$ and $2$ .

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Step 4.1

Factor $2$ out of $12$ .

$\frac{2 \cdot 6 + \frac{34}{39}}{2}$

Step 4.2

Factor $2$ out of $\frac{34}{39}$ .

$\frac{2 \cdot 6 + 2 (\frac{17}{39})}{2}$

Step 4.3

Factor $2$ out of $2 \cdot 6 + 2 (\frac{17}{39})$ .

$\frac{2 \cdot (6 + \frac{17}{39})}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (6 + \frac{17}{39})}{2 (1)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 \cdot (6 + \frac{17}{39})}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

$\frac{6 + \frac{17}{39}}{1}$

Step 4.4.4

Divide $6 + \frac{17}{39}$ by $1$ .

$6 + \frac{17}{39}$

Step 5

To write $6$ as a fraction with a common denominator, multiply by $\frac{39}{39}$ .

$6 \cdot \frac{39}{39} + \frac{17}{39}$

Step 6

Combine $6$ and $\frac{39}{39}$ .

$\frac{6 \cdot 39}{39} + \frac{17}{39}$

Step 7

Combine the numerators over the common denominator.

$\frac{6 \cdot 39 + 17}{39}$

Step 8

Simplify the numerator.

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Step 8.1

Multiply $6$ by $39$ .

$\frac{234 + 17}{39}$

Step 8.2

Add $234$ and $17$ .

$\frac{251}{39}$

Step 9

Divide.

$6.\overline{435897}$

Step 10

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.

$6.4$