Basic Math Examples

$- 29$ , $29 \div 35$

Step 1

Rewrite the division as a fraction.

$- 29, \frac{29}{35}$

Step 2

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

$\frac{- 29 + \frac{29}{35}}{2}$

Step 3

Simplify the numerator.

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Step 3.1

To write $- 29$ as a fraction with a common denominator, multiply by $\frac{35}{35}$ .

$\frac{- 29 \cdot \frac{35}{35} + \frac{29}{35}}{2}$

Step 3.2

Combine $- 29$ and $\frac{35}{35}$ .

$\frac{\frac{- 29 \cdot 35}{35} + \frac{29}{35}}{2}$

Step 3.3

Combine the numerators over the common denominator.

$\frac{\frac{- 29 \cdot 35 + 29}{35}}{2}$

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply $- 29$ by $35$ .

$\frac{\frac{- 1015 + 29}{35}}{2}$

Step 3.4.2

Add $- 1015$ and $29$ .

$\frac{\frac{- 986}{35}}{2}$

Step 3.5

Move the negative in front of the fraction.

$\frac{- \frac{986}{35}}{2}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$- \frac{986}{35} \cdot \frac{1}{2}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Move the leading negative in $- \frac{986}{35}$ into the numerator.

$\frac{- 986}{35} \cdot \frac{1}{2}$

Step 5.2

Factor $2$ out of $- 986$ .

$\frac{2 (- 493)}{35} \cdot \frac{1}{2}$

Step 5.3

Cancel the common factor.

$\frac{2 \cdot - 493}{35} \cdot \frac{1}{2}$

Step 5.4

Rewrite the expression.

$\frac{- 493}{35}$

Step 6

Move the negative in front of the fraction.

$- \frac{493}{35}$

Step 7

Divide.

$- 14.08571428$

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.

$- 14.1$