Basic Math Examples

$\frac{2}{3}$ , $\frac{6}{9}$

Step 1

Arrange the terms in ascending order.

$\frac{2}{3}, \frac{6}{9}$

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.

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

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Remove parentheses.

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

Step 3.2

Cancel the common factor of $6$ and $9$ .

Tap for more steps...

Step 3.2.1

Factor $3$ out of $6$ .

$\frac{\frac{2}{3} + \frac{3 (2)}{9}}{2}$

Step 3.2.2

Cancel the common factors.

Tap for more steps...

Step 3.2.2.1

Factor $3$ out of $9$ .

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

Step 3.2.2.2

Cancel the common factor.

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

Step 3.2.2.3

Rewrite the expression.

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

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Combine the numerators over the common denominator.

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

Step 4.2

Add $2$ and $2$ .

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

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{3} \cdot \frac{1}{2}$

Step 6

Cancel the common factor of $2$ .

Tap for more steps...

Step 6.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{3} \cdot \frac{1}{2}$

Step 6.2

Cancel the common factor.

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

Step 6.3

Rewrite the expression.

$\frac{2}{3}$

Step 7

Convert the median $\frac{2}{3}$ to decimal.

$0.\overline{6}$