Basic Math Examples

$3 \frac{1}{3}$

Step 1

Convert $3 \frac{1}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

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

Step 1.2

Add $3$ and $\frac{1}{3}$ .

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Step 1.2.1

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

$3 \cdot \frac{3}{3} + \frac{1}{3}$

Step 1.2.2

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

$\frac{3 \cdot 3}{3} + \frac{1}{3}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $3$ .

$\frac{9 + 1}{3}$

Step 1.2.4.2

Add $9$ and $1$ .

$\frac{10}{3}$

Step 2

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

$\frac{\frac{10}{3}}{1}$

Step 3

Divide $\frac{10}{3}$ by $1$ .

$\frac{10}{3}$

Step 4

Divide.

$3.\overline{3}$

Step 5

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.

$3.3$