Basic Math Examples

$\frac{7}{12}$ , $48$

Step 1

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

$\frac{\frac{7}{12} + 48}{2}$

Step 2

Simplify the numerator.

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Step 2.1

To write $48$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$\frac{\frac{7}{12} + 48 \cdot \frac{12}{12}}{2}$

Step 2.2

Combine $48$ and $\frac{12}{12}$ .

$\frac{\frac{7}{12} + \frac{48 \cdot 12}{12}}{2}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{\frac{7 + 48 \cdot 12}{12}}{2}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $48$ by $12$ .

$\frac{\frac{7 + 576}{12}}{2}$

Step 2.4.2

Add $7$ and $576$ .

$\frac{\frac{583}{12}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{583}{12} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{583}{12} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply $\frac{583}{12}$ by $\frac{1}{2}$ .

$\frac{583}{12 \cdot 2}$

Step 4.2

Multiply $12$ by $2$ .

$\frac{583}{24}$

Step 5

Divide.

$24.291\overline{6}$

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.

$24.3$