Find the Mean 9/14 , 2/7

$\frac{9}{14}$ , $\frac{2}{7}$

Step 1

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

$\frac{\frac{9}{14} + \frac{2}{7}}{2}$

Step 2

Simplify the numerator.

To write $\frac{2}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{9}{14} + \frac{2}{7} \cdot \frac{2}{2}}{2}$

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{7}$ by $\frac{2}{2}$ .

$\frac{\frac{9}{14} + \frac{2 \cdot 2}{7 \cdot 2}}{2}$

Multiply $7$ by $2$ .

$\frac{\frac{9}{14} + \frac{2 \cdot 2}{14}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{9 + 2 \cdot 2}{14}}{2}$

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{\frac{9 + 4}{14}}{2}$

Add $9$ and $4$ .

$\frac{\frac{13}{14}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{13}{14} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{13}{14} \cdot \frac{1}{2}$ .

Multiply $\frac{13}{14}$ by $\frac{1}{2}$ .

$\frac{13}{14 \cdot 2}$

Multiply $14$ by $2$ .

$\frac{13}{28}$

Step 5

Divide.

$0.46428571$

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.

$0.5$

Find the Mean 9/14 , 2/7

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