Basic Math Examples

3

$3$ ,

748 \div 9

$748 \div 9$

Step 1

Rewrite the division as a fraction.

3, \frac{748}{9}

$3, \frac{748}{9}$

Step 2

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

\frac{3 + \frac{748}{9}}{2}

$\frac{3 + \frac{748}{9}}{2}$

Step 3

Simplify the numerator.

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Step 3.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

\frac{3 \cdot \frac{9}{9} + \frac{748}{9}}{2}

$\frac{3 \cdot \frac{9}{9} + \frac{748}{9}}{2}$

Step 3.2

Combine

3

$3$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{\frac{3 \cdot 9}{9} + \frac{748}{9}}{2}

$\frac{\frac{3 \cdot 9}{9} + \frac{748}{9}}{2}$

Step 3.3

Combine the numerators over the common denominator.

\frac{\frac{3 \cdot 9 + 748}{9}}{2}

$\frac{\frac{3 \cdot 9 + 748}{9}}{2}$

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply

3

$3$ by

9

$9$ .

\frac{\frac{27 + 748}{9}}{2}

$\frac{\frac{27 + 748}{9}}{2}$

Step 3.4.2

Add

27

$27$ and

748

$748$ .

\frac{\frac{775}{9}}{2}

$\frac{\frac{775}{9}}{2}$

\frac{\frac{775}{9}}{2}

$\frac{\frac{775}{9}}{2}$

\frac{\frac{775}{9}}{2}

$\frac{\frac{775}{9}}{2}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

\frac{775}{9} \cdot \frac{1}{2}

$\frac{775}{9} \cdot \frac{1}{2}$

Step 5

Multiply

\frac{775}{9} \cdot \frac{1}{2}

$\frac{775}{9} \cdot \frac{1}{2}$ .

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Step 5.1

Multiply

\frac{775}{9}

$\frac{775}{9}$ by

\frac{1}{2}

$\frac{1}{2}$ .

\frac{775}{9 \cdot 2}

$\frac{775}{9 \cdot 2}$

Step 5.2

Multiply

9

$9$ by

2

$2$ .

\frac{775}{18}

$\frac{775}{18}$

\frac{775}{18}

$\frac{775}{18}$

Step 6

Divide.

43.0\overline{5}

$43.0\overline{5}$

Step 7

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.

43.1

$43.1$