Basic Math Examples

$31$ , $392 \div 36$

Step 1

Rewrite the division as a fraction.

$31, \frac{392}{36}$

Step 2

Cancel the common factor of $392$ and $36$ .

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Step 2.1

Factor $4$ out of $392$ .

$31, \frac{4 (98)}{36}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $36$ .

$31, \frac{4 \cdot 98}{4 \cdot 9}$

Step 2.2.2

Cancel the common factor.

$31, \frac{4 \cdot 98}{4 \cdot 9}$

Step 2.2.3

Rewrite the expression.

$31, \frac{98}{9}$

Step 3

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

$\frac{31 + \frac{98}{9}}{2}$

Step 4

Simplify the numerator.

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Step 4.1

To write $31$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{31 \cdot \frac{9}{9} + \frac{98}{9}}{2}$

Step 4.2

Combine $31$ and $\frac{9}{9}$ .

$\frac{\frac{31 \cdot 9}{9} + \frac{98}{9}}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{31 \cdot 9 + 98}{9}}{2}$

Step 4.4

Simplify the numerator.

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Step 4.4.1

Multiply $31$ by $9$ .

$\frac{\frac{279 + 98}{9}}{2}$

Step 4.4.2

Add $279$ and $98$ .

$\frac{\frac{377}{9}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{377}{9} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{377}{9} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{377}{9}$ by $\frac{1}{2}$ .

$\frac{377}{9 \cdot 2}$

Step 6.2

Multiply $9$ by $2$ .

$\frac{377}{18}$

Step 7

Divide.

$20.9\overline{4}$

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.

$20.9$