Basic Math Examples

$\frac{1}{- 8}$ , $\frac{1}{- 16}$ , $\frac{1}{- 32}$ , $\frac{1}{- 64}$

Step 1

Move the negative in front of the fraction.

$- \frac{1}{8}, \frac{1}{- 16}, \frac{1}{- 32}, \frac{1}{- 64}$

Step 2

Move the negative in front of the fraction.

$- \frac{1}{8}, - \frac{1}{16}, \frac{1}{- 32}, \frac{1}{- 64}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{8}, - \frac{1}{16}, - \frac{1}{32}, \frac{1}{- 64}$

Step 4

Move the negative in front of the fraction.

$- \frac{1}{8}, - \frac{1}{16}, - \frac{1}{32}, - \frac{1}{64}$

Step 5

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

$\frac{- \frac{1}{8} - \frac{1}{16} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6

Simplify the numerator.

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Step 6.1

To write $- \frac{1}{8}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{- \frac{1}{8} \cdot \frac{2}{2} - \frac{1}{16} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6.2

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 6.2.1

Multiply $\frac{1}{8}$ by $\frac{2}{2}$ .

$\frac{- \frac{2}{8 \cdot 2} - \frac{1}{16} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6.2.2

Multiply $8$ by $2$ .

$\frac{- \frac{2}{16} - \frac{1}{16} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6.3

Combine the numerators over the common denominator.

$\frac{\frac{- 2 - 1}{16} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6.4

Subtract $1$ from $- 2$ .

$\frac{\frac{- 3}{16} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6.5

To write $\frac{- 3}{16}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{- 3}{16} \cdot \frac{2}{2} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6.6

Write each expression with a common denominator of $32$ , by multiplying each by an appropriate factor of $1$ .

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Step 6.6.1

Multiply $\frac{- 3}{16}$ by $\frac{2}{2}$ .

$\frac{\frac{- 3 \cdot 2}{16 \cdot 2} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6.6.2

Multiply $16$ by $2$ .

$\frac{\frac{- 3 \cdot 2}{32} - \frac{1}{32} - \frac{1}{64}}{4}$

Step 6.7

Combine the numerators over the common denominator.

$\frac{\frac{- 3 \cdot 2 - 1}{32} - \frac{1}{64}}{4}$

Step 6.8

Simplify the numerator.

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Step 6.8.1

Multiply $- 3$ by $2$ .

$\frac{\frac{- 6 - 1}{32} - \frac{1}{64}}{4}$

Step 6.8.2

Subtract $1$ from $- 6$ .

$\frac{\frac{- 7}{32} - \frac{1}{64}}{4}$

Step 6.9

To write $\frac{- 7}{32}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{- 7}{32} \cdot \frac{2}{2} - \frac{1}{64}}{4}$

Step 6.10

Write each expression with a common denominator of $64$ , by multiplying each by an appropriate factor of $1$ .

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Step 6.10.1

Multiply $\frac{- 7}{32}$ by $\frac{2}{2}$ .

$\frac{\frac{- 7 \cdot 2}{32 \cdot 2} - \frac{1}{64}}{4}$

Step 6.10.2

Multiply $32$ by $2$ .

$\frac{\frac{- 7 \cdot 2}{64} - \frac{1}{64}}{4}$

Step 6.11

Combine the numerators over the common denominator.

$\frac{\frac{- 7 \cdot 2 - 1}{64}}{4}$

Step 6.12

Simplify the numerator.

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Step 6.12.1

Multiply $- 7$ by $2$ .

$\frac{\frac{- 14 - 1}{64}}{4}$

Step 6.12.2

Subtract $1$ from $- 14$ .

$\frac{\frac{- 15}{64}}{4}$

Step 6.13

Move the negative in front of the fraction.

$\frac{- \frac{15}{64}}{4}$

Step 7

Multiply the numerator by the reciprocal of the denominator.

$- \frac{15}{64} \cdot \frac{1}{4}$

Step 8

Multiply $- \frac{15}{64} \cdot \frac{1}{4}$ .

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Step 8.1

Multiply $\frac{1}{4}$ by $\frac{15}{64}$ .

$- \frac{15}{4 \cdot 64}$

Step 8.2

Multiply $4$ by $64$ .

$- \frac{15}{256}$

Step 9

Divide.

$- 0.05859375$

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.

$- 0.1$