Basic Math Examples

8

$8$ ,

328 \div 43

$328 \div 43$

Step 1

Rewrite the division as a fraction.

8, \frac{328}{43}

$8, \frac{328}{43}$

Step 2

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

\frac{8 + \frac{328}{43}}{2}

$\frac{8 + \frac{328}{43}}{2}$

Step 3

Cancel the common factor of

8 + \frac{328}{43}

$8 + \frac{328}{43}$ and

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

8

$8$ .

\frac{2 \cdot 4 + \frac{328}{43}}{2}

$\frac{2 \cdot 4 + \frac{328}{43}}{2}$

Step 3.2

Factor

2

$2$ out of

\frac{328}{43}

$\frac{328}{43}$ .

\frac{2 \cdot 4 + 2 (\frac{164}{43})}{2}

$\frac{2 \cdot 4 + 2 (\frac{164}{43})}{2}$

Step 3.3

Factor

2

$2$ out of

2 \cdot 4 + 2 (\frac{164}{43})

$2 \cdot 4 + 2 (\frac{164}{43})$ .

\frac{2 \cdot (4 + \frac{164}{43})}{2}

$\frac{2 \cdot (4 + \frac{164}{43})}{2}$

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 (4 + \frac{164}{43})}{2 (1)}

$\frac{2 \cdot (4 + \frac{164}{43})}{2 (1)}$

Step 3.4.2

Cancel the common factor.

$\frac{2 \cdot (4 + \frac{164}{43})}{2 \cdot 1}$

Step 3.4.3

Rewrite the expression.

$\frac{4 + \frac{164}{43}}{1}$

Step 3.4.4

Divide

$4 + \frac{164}{43}$ by

$1$ .

$4 + \frac{164}{43}$

Step 4

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{43}{43}$ .

$4 \cdot \frac{43}{43} + \frac{164}{43}$

Step 5

Combine

$4$ and

$\frac{43}{43}$ .

$\frac{4 \cdot 43}{43} + \frac{164}{43}$

Step 6

Combine the numerators over the common denominator.

$\frac{4 \cdot 43 + 164}{43}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply

$4$ by

$43$ .

$\frac{172 + 164}{43}$

Step 7.2

Add

$172$ and

$164$ .

$\frac{336}{43}$

Step 8

Divide.

$7.81395348$

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.

$7.8$