Algebra Examples

$1 \frac{1}{4}$ , $\frac{5}{8}$ , $\frac{3}{4}$ , $\frac{1}{2}$ , $1 \frac{1}{2}$ , $1 \frac{3}{4}$

Step 1

Arrange the terms in ascending order.

$\frac{1}{2}, \frac{5}{8}, \frac{3}{4}, 1 \frac{1}{4}, 1 \frac{1}{2}, 1 \frac{3}{4}$

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.

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

Step 3

Remove parentheses.

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

Step 4

Convert $1 \frac{1}{4}$ to an improper fraction.

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Step 4.1

A mixed number is an addition of its whole and fractional parts.

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

Step 4.2

Add $1$ and $\frac{1}{4}$ .

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Step 4.2.1

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

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

Step 4.2.2

Combine the numerators over the common denominator.

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

Step 4.2.3

Add $4$ and $1$ .

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

Step 5

Simplify the numerator.

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Step 5.1

Combine the numerators over the common denominator.

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

Step 5.2

Add $3$ and $5$ .

$\frac{\frac{8}{4}}{2}$

Step 5.3

Divide $8$ by $4$ .

$\frac{2}{2}$

Step 6

Divide $2$ by $2$ .

$1$

Step 7

Convert the median $1$ to decimal.

$1$