Basic Math Examples

5 \div 3

$5 \div 3$ ,

765

$765$

Step 1

Rewrite the division as a fraction.

\frac{5}{3}, 765

$\frac{5}{3}, 765$

Step 2

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

\frac{\frac{5}{3} + 765}{2}

$\frac{\frac{5}{3} + 765}{2}$

Step 3

Simplify the numerator.

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Step 3.1

To write

765

$765$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{\frac{5}{3} + 765 \cdot \frac{3}{3}}{2}

$\frac{\frac{5}{3} + 765 \cdot \frac{3}{3}}{2}$

Step 3.2

Combine

765

$765$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{\frac{5}{3} + \frac{765 \cdot 3}{3}}{2}

$\frac{\frac{5}{3} + \frac{765 \cdot 3}{3}}{2}$

Step 3.3

Combine the numerators over the common denominator.

\frac{\frac{5 + 765 \cdot 3}{3}}{2}

$\frac{\frac{5 + 765 \cdot 3}{3}}{2}$

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply

765

$765$ by

3

$3$ .

\frac{\frac{5 + 2295}{3}}{2}

$\frac{\frac{5 + 2295}{3}}{2}$

Step 3.4.2

Add

5

$5$ and

2295

$2295$ .

\frac{\frac{2300}{3}}{2}

$\frac{\frac{2300}{3}}{2}$

\frac{\frac{2300}{3}}{2}

$\frac{\frac{2300}{3}}{2}$

\frac{\frac{2300}{3}}{2}

$\frac{\frac{2300}{3}}{2}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

\frac{2300}{3} \cdot \frac{1}{2}

$\frac{2300}{3} \cdot \frac{1}{2}$

Step 5

Cancel the common factor of

2

$2$ .

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Step 5.1

Factor

2

$2$ out of

2300

$2300$ .

\frac{2 (1150)}{3} \cdot \frac{1}{2}

$\frac{2 (1150)}{3} \cdot \frac{1}{2}$

Step 5.2

Cancel the common factor.

$\frac{2 \cdot 1150}{3} \cdot \frac{1}{2}$

Step 5.3

Rewrite the expression.

$\frac{1150}{3}$

Step 6

Divide.

$383.\overline{3}$

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.

$383.3$