Basic Math Examples

$8$ , $328 \div 43$

Step 1

Rewrite the division as a fraction.

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

Step 2

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

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

Step 3

Cancel the common factor of $8 + \frac{328}{43}$ and $2$ .

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Step 3.1

Factor $2$ out of $8$ .

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

Step 3.2

Factor $2$ out of $\frac{328}{43}$ .

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

Step 3.3

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

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

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2$ .

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

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.

$7.8$