Algebra Examples

$\frac{1}{3}$ , $\frac{2}{3}$ , $1$ , $\frac{4}{3}$ , $\frac{5}{3}$

Step 1

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

$\frac{\frac{1}{3} + \frac{2}{3} + 1 + \frac{4}{3} + \frac{5}{3}}{5}$

Step 2

Simplify the numerator.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{\frac{1 + 2}{3} + 1 + \frac{4}{3} + \frac{5}{3}}{5}$

Step 2.2

Add $1$ and $2$ .

$\frac{\frac{3}{3} + 1 + \frac{4}{3} + \frac{5}{3}}{5}$

Step 2.3

Write $1$ as a fraction with a common denominator.

$\frac{\frac{3}{3} + \frac{3}{3} + \frac{4}{3} + \frac{5}{3}}{5}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{\frac{3 + 3}{3} + \frac{4}{3} + \frac{5}{3}}{5}$

Step 2.5

Add $3$ and $3$ .

$\frac{\frac{6}{3} + \frac{4}{3} + \frac{5}{3}}{5}$

Step 2.6

Combine the numerators over the common denominator.

$\frac{\frac{6 + 4}{3} + \frac{5}{3}}{5}$

Step 2.7

Add $6$ and $4$ .

$\frac{\frac{10}{3} + \frac{5}{3}}{5}$

Step 2.8

Combine the numerators over the common denominator.

$\frac{\frac{10 + 5}{3}}{5}$

Step 2.9

Add $10$ and $5$ .

$\frac{\frac{15}{3}}{5}$

Step 2.10

Divide $15$ by $3$ .

$\frac{5}{5}$

Step 3

Divide $5$ by $5$ .

$1$