Basic Math Examples

$\frac{1}{2}$ , $\frac{3}{4}$ , $- 1$ , $0$ , $7$

Step 1

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

$\frac{\frac{1}{2} + \frac{3}{4} - 1 + 0 + 7}{5}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{\frac{1}{2} \cdot \frac{2}{2} + \frac{3}{4} - 1 + 0 + 7}{5}$

Step 2.2

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

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Step 2.2.1

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

$\frac{\frac{2}{2 \cdot 2} + \frac{3}{4} - 1 + 0 + 7}{5}$

Step 2.2.2

Multiply $2$ by $2$ .

$\frac{\frac{2}{4} + \frac{3}{4} - 1 + 0 + 7}{5}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{\frac{2 + 3}{4} - 1 + 0 + 7}{5}$

Step 2.4

Add $2$ and $3$ .

$\frac{\frac{5}{4} - 1 + 0 + 7}{5}$

Step 2.5

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{\frac{5}{4} - 1 \cdot \frac{4}{4} + 0 + 7}{5}$

Step 2.6

Combine $- 1$ and $\frac{4}{4}$ .

$\frac{\frac{5}{4} + \frac{- 1 \cdot 4}{4} + 0 + 7}{5}$

Step 2.7

Combine the numerators over the common denominator.

$\frac{\frac{5 - 1 \cdot 4}{4} + 0 + 7}{5}$

Step 2.8

Simplify the numerator.

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Step 2.8.1

Multiply $- 1$ by $4$ .

$\frac{\frac{5 - 4}{4} + 0 + 7}{5}$

Step 2.8.2

Subtract $4$ from $5$ .

$\frac{\frac{1}{4} + 0 + 7}{5}$

Step 2.9

Add $\frac{1}{4}$ and $0$ .

$\frac{\frac{1}{4} + 7}{5}$

Step 2.10

To write $7$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{\frac{1}{4} + 7 \cdot \frac{4}{4}}{5}$

Step 2.11

Combine $7$ and $\frac{4}{4}$ .

$\frac{\frac{1}{4} + \frac{7 \cdot 4}{4}}{5}$

Step 2.12

Combine the numerators over the common denominator.

$\frac{\frac{1 + 7 \cdot 4}{4}}{5}$

Step 2.13

Simplify the numerator.

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Step 2.13.1

Multiply $7$ by $4$ .

$\frac{\frac{1 + 28}{4}}{5}$

Step 2.13.2

Add $1$ and $28$ .

$\frac{\frac{29}{4}}{5}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{29}{4} \cdot \frac{1}{5}$

Step 4

Multiply $\frac{29}{4} \cdot \frac{1}{5}$ .

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Step 4.1

Multiply $\frac{29}{4}$ by $\frac{1}{5}$ .

$\frac{29}{4 \cdot 5}$

Step 4.2

Multiply $4$ by $5$ .

$\frac{29}{20}$

Step 5

Divide.

$1.45$

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.

$1.5$