Basic Math Examples

$3$ , $207 \div 4$

Step 1

Rewrite the division as a fraction.

$3, \frac{207}{4}$

Step 2

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

$\frac{3 + \frac{207}{4}}{2}$

Step 3

Simplify the numerator.

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Step 3.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3 \cdot \frac{4}{4} + \frac{207}{4}}{2}$

Step 3.2

Combine $3$ and $\frac{4}{4}$ .

$\frac{\frac{3 \cdot 4}{4} + \frac{207}{4}}{2}$

Step 3.3

Combine the numerators over the common denominator.

$\frac{\frac{3 \cdot 4 + 207}{4}}{2}$

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply $3$ by $4$ .

$\frac{\frac{12 + 207}{4}}{2}$

Step 3.4.2

Add $12$ and $207$ .

$\frac{\frac{219}{4}}{2}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{219}{4} \cdot \frac{1}{2}$

Step 5

Multiply $\frac{219}{4} \cdot \frac{1}{2}$ .

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Step 5.1

Multiply $\frac{219}{4}$ by $\frac{1}{2}$ .

$\frac{219}{4 \cdot 2}$

Step 5.2

Multiply $4$ by $2$ .

$\frac{219}{8}$

Step 6

Divide.

$27.375$

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.

$27.4$