Basic Math Examples

$- \frac{5}{9}$ , $\frac{1}{2}$

Step 1

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

$\frac{- \frac{5}{9} + \frac{1}{2}}{2}$

Step 2

Simplify the numerator.

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Step 2.1

To write $- \frac{5}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{- \frac{5}{9} \cdot \frac{2}{2} + \frac{1}{2}}{2}$

Step 2.2

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{- \frac{5}{9} \cdot \frac{2}{2} + \frac{1}{2} \cdot \frac{9}{9}}{2}$

Step 2.3

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.3.1

Multiply $\frac{5}{9}$ by $\frac{2}{2}$ .

$\frac{- \frac{5 \cdot 2}{9 \cdot 2} + \frac{1}{2} \cdot \frac{9}{9}}{2}$

Step 2.3.2

Multiply $9$ by $2$ .

$\frac{- \frac{5 \cdot 2}{18} + \frac{1}{2} \cdot \frac{9}{9}}{2}$

Step 2.3.3

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

$\frac{- \frac{5 \cdot 2}{18} + \frac{9}{2 \cdot 9}}{2}$

Step 2.3.4

Multiply $2$ by $9$ .

$\frac{- \frac{5 \cdot 2}{18} + \frac{9}{18}}{2}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{\frac{- 5 \cdot 2 + 9}{18}}{2}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $- 5$ by $2$ .

$\frac{\frac{- 10 + 9}{18}}{2}$

Step 2.5.2

Add $- 10$ and $9$ .

$\frac{\frac{- 1}{18}}{2}$

Step 2.6

Move the negative in front of the fraction.

$\frac{- \frac{1}{18}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$- \frac{1}{18} \cdot \frac{1}{2}$

Step 4

Multiply $- \frac{1}{18} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply $\frac{1}{2}$ by $\frac{1}{18}$ .

$- \frac{1}{2 \cdot 18}$

Step 4.2

Multiply $2$ by $18$ .

$- \frac{1}{36}$

Step 5

Divide.

$- 0.02\overline{7}$

Step 6

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.

$0$