Find the Median 2/5 , 1/15

$\frac{2}{5}$ , $\frac{1}{15}$

Step 1

Arrange the terms in ascending order.

$\frac{1}{15}, \frac{2}{5}$

Step 2

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

$\frac{\frac{1}{15} + \frac{2}{5}}{2}$

Step 3

Remove parentheses.

$\frac{\frac{1}{15} + \frac{2}{5}}{2}$

Step 4

Simplify the numerator.

To write $\frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{1}{15} + \frac{2}{5} \cdot \frac{3}{3}}{2}$

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{5}$ by $\frac{3}{3}$ .

$\frac{\frac{1}{15} + \frac{2 \cdot 3}{5 \cdot 3}}{2}$

Multiply $5$ by $3$ .

$\frac{\frac{1}{15} + \frac{2 \cdot 3}{15}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{1 + 2 \cdot 3}{15}}{2}$

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{\frac{1 + 6}{15}}{2}$

Add $1$ and $6$ .

$\frac{\frac{7}{15}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{7}{15} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{7}{15} \cdot \frac{1}{2}$ .

Multiply $\frac{7}{15}$ by $\frac{1}{2}$ .

$\frac{7}{15 \cdot 2}$

Multiply $15$ by $2$ .

$\frac{7}{30}$

Step 7

Convert the median $\frac{7}{30}$ to decimal.

$0.2\overline{3}$