Find the Mean 2/3 , 4/9 , 2/9

$\frac{2}{3}$ ,

$\frac{4}{9}$ ,

$\frac{2}{9}$

Step 1

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

$\frac{\frac{2}{3} + \frac{4}{9} + \frac{2}{9}}{3}$

Step 2

Simplify the numerator.

To write

$\frac{2}{3}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{\frac{2}{3} \cdot \frac{3}{3} + \frac{4}{9} + \frac{2}{9}}{3}$

Write each expression with a common denominator of

$9$ , by multiplying each by an appropriate factor of

$1$ .

Multiply

$\frac{2}{3}$ by

$\frac{3}{3}$ .

$\frac{\frac{2 \cdot 3}{3 \cdot 3} + \frac{4}{9} + \frac{2}{9}}{3}$

Multiply

$3$ by

$3$ .

$\frac{\frac{2 \cdot 3}{9} + \frac{4}{9} + \frac{2}{9}}{3}$

Combine the numerators over the common denominator.

$\frac{\frac{2 \cdot 3 + 4}{9} + \frac{2}{9}}{3}$

Simplify the numerator.

Multiply

$2$ by

$3$ .

$\frac{\frac{6 + 4}{9} + \frac{2}{9}}{3}$

Add

$6$ and

$4$ .

$\frac{\frac{10}{9} + \frac{2}{9}}{3}$

Combine the numerators over the common denominator.

$\frac{\frac{10 + 2}{9}}{3}$

Add

$10$ and

$2$ .

$\frac{\frac{12}{9}}{3}$

Cancel the common factor of

$12$ and

$9$ .

Factor

$3$ out of

$12$ .

$\frac{\frac{3 (4)}{9}}{3}$

Cancel the common factors.

Factor

$3$ out of

$9$ .

$\frac{\frac{3 \cdot 4}{3 \cdot 3}}{3}$

Cancel the common factor.

$\frac{\frac{3 \cdot 4}{3 \cdot 3}}{3}$

Rewrite the expression.

$\frac{\frac{4}{3}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{3} \cdot \frac{1}{3}$

Step 4

Multiply

$\frac{4}{3} \cdot \frac{1}{3}$ .

Multiply

$\frac{4}{3}$ by

$\frac{1}{3}$ .

$\frac{4}{3 \cdot 3}$

Multiply

$3$ by

$3$ .

$\frac{4}{9}$

Step 5

Divide.

$0.\overline{4}$

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.

$0.4$

Find the Mean 2/3 , 4/9 , 2/9

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