Basic Math Examples

$182 \div 3$ , $0.5$

Step 1

Rewrite the division as a fraction.

$\frac{182}{3}, 0.5$

Step 2

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

$\frac{\frac{182}{3} + 0.5}{2}$

Step 3

Simplify the numerator.

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Step 3.1

To write $0.5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{182}{3} + 0.5 \cdot \frac{3}{3}}{2}$

Step 3.2

Combine $0.5$ and $\frac{3}{3}$ .

$\frac{\frac{182}{3} + \frac{0.5 \cdot 3}{3}}{2}$

Step 3.3

Combine the numerators over the common denominator.

$\frac{\frac{182 + 0.5 \cdot 3}{3}}{2}$

Step 3.4

Rewrite $\frac{182 + 0.5 \cdot 3}{3}$ in a factored form.

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Step 3.4.1

Multiply $0.5$ by $3$ .

$\frac{\frac{182 + 1.5}{3}}{2}$

Step 3.4.2

Add $182$ and $1.5$ .

$\frac{\frac{183.5}{3}}{2}$

Step 3.4.3

Divide $183.5$ by $3$ .

$\frac{61.1\overline{6}}{2}$

Step 4

Divide $61.1\overline{6}$ by $2$ .

$30.58\overline{3}$

Step 5

Divide.

$30.58\overline{3}$

Step 6

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.

$30.6$