Basic Math Examples

6

$6$ ,

834 \div 17

$834 \div 17$

Step 1

Rewrite the division as a fraction.

6, \frac{834}{17}

$6, \frac{834}{17}$

Step 2

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

\frac{6 + \frac{834}{17}}{2}

$\frac{6 + \frac{834}{17}}{2}$

Step 3

Cancel the common factor of

6 + \frac{834}{17}

$6 + \frac{834}{17}$ and

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

6

$6$ .

\frac{2 \cdot 3 + \frac{834}{17}}{2}

$\frac{2 \cdot 3 + \frac{834}{17}}{2}$

Step 3.2

Factor

2

$2$ out of

\frac{834}{17}

$\frac{834}{17}$ .

\frac{2 \cdot 3 + 2 (\frac{417}{17})}{2}

$\frac{2 \cdot 3 + 2 (\frac{417}{17})}{2}$

Step 3.3

Factor

2

$2$ out of

2 \cdot 3 + 2 (\frac{417}{17})

$2 \cdot 3 + 2 (\frac{417}{17})$ .

\frac{2 \cdot (3 + \frac{417}{17})}{2}

$\frac{2 \cdot (3 + \frac{417}{17})}{2}$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor

2

$2$ out of

2

$2$ .

\frac{2 \cdot (3 + \frac{417}{17})}{2 (1)}

$\frac{2 \cdot (3 + \frac{417}{17})}{2 (1)}$

Step 3.4.2

Cancel the common factor.

$\frac{2 \cdot (3 + \frac{417}{17})}{2 \cdot 1}$

Step 3.4.3

Rewrite the expression.

$\frac{3 + \frac{417}{17}}{1}$

Step 3.4.4

Divide

$3 + \frac{417}{17}$ by

$1$ .

$3 + \frac{417}{17}$

Step 4

To write

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

$\frac{17}{17}$ .

$3 \cdot \frac{17}{17} + \frac{417}{17}$

Step 5

Combine

$3$ and

$\frac{17}{17}$ .

$\frac{3 \cdot 17}{17} + \frac{417}{17}$

Step 6

Combine the numerators over the common denominator.

$\frac{3 \cdot 17 + 417}{17}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply

$3$ by

$17$ .

$\frac{51 + 417}{17}$

Step 7.2

Add

$51$ and

$417$ .

$\frac{468}{17}$

Step 8

Divide.

$27.52941176$

Step 9

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.

$27.5$