Basic Math Examples

$9$ , $\frac{- 9}{2}$ , $\frac{9}{4}$ , $\frac{- 9}{8}$

Step 1

Move the negative in front of the fraction.

$9, - \frac{9}{2}, \frac{9}{4}, \frac{- 9}{8}$

Step 2

Move the negative in front of the fraction.

$9, - \frac{9}{2}, \frac{9}{4}, - \frac{9}{8}$

Step 3

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

$\frac{9 - \frac{9}{2} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4

Simplify the numerator.

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Step 4.1

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

$\frac{9 \cdot \frac{2}{2} - \frac{9}{2} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4.2

Combine $9$ and $\frac{2}{2}$ .

$\frac{\frac{9 \cdot 2}{2} - \frac{9}{2} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{9 \cdot 2 - 9}{2} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4.4

Simplify the numerator.

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Step 4.4.1

Multiply $9$ by $2$ .

$\frac{\frac{18 - 9}{2} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4.4.2

Subtract $9$ from $18$ .

$\frac{\frac{9}{2} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4.5

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

$\frac{\frac{9}{2} \cdot \frac{2}{2} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4.6

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.6.1

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

$\frac{\frac{9 \cdot 2}{2 \cdot 2} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4.6.2

Multiply $2$ by $2$ .

$\frac{\frac{9 \cdot 2}{4} + \frac{9}{4} - \frac{9}{8}}{4}$

Step 4.7

Combine the numerators over the common denominator.

$\frac{\frac{9 \cdot 2 + 9}{4} - \frac{9}{8}}{4}$

Step 4.8

Simplify the numerator.

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Step 4.8.1

Multiply $9$ by $2$ .

$\frac{\frac{18 + 9}{4} - \frac{9}{8}}{4}$

Step 4.8.2

Add $18$ and $9$ .

$\frac{\frac{27}{4} - \frac{9}{8}}{4}$

Step 4.9

To write $\frac{27}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{27}{4} \cdot \frac{2}{2} - \frac{9}{8}}{4}$

Step 4.10

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.10.1

Multiply $\frac{27}{4}$ by $\frac{2}{2}$ .

$\frac{\frac{27 \cdot 2}{4 \cdot 2} - \frac{9}{8}}{4}$

Step 4.10.2

Multiply $4$ by $2$ .

$\frac{\frac{27 \cdot 2}{8} - \frac{9}{8}}{4}$

Step 4.11

Combine the numerators over the common denominator.

$\frac{\frac{27 \cdot 2 - 9}{8}}{4}$

Step 4.12

Simplify the numerator.

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Step 4.12.1

Multiply $27$ by $2$ .

$\frac{\frac{54 - 9}{8}}{4}$

Step 4.12.2

Subtract $9$ from $54$ .

$\frac{\frac{45}{8}}{4}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{45}{8} \cdot \frac{1}{4}$

Step 6

Multiply $\frac{45}{8} \cdot \frac{1}{4}$ .

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Step 6.1

Multiply $\frac{45}{8}$ by $\frac{1}{4}$ .

$\frac{45}{8 \cdot 4}$

Step 6.2

Multiply $8$ by $4$ .

$\frac{45}{32}$

Step 7

Divide.

$1.40625$

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.

$1.4$