Basic Math Examples

$- \frac{2}{5}$ , $- \frac{17}{20}$

Step 1

Arrange the terms in ascending order.

$- \frac{17}{20}, - \frac{2}{5}$

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.

$\frac{- \frac{17}{20} - \frac{2}{5}}{2}$

Step 3

Remove parentheses.

$\frac{- \frac{17}{20} - \frac{2}{5}}{2}$

Step 4

Simplify the numerator.

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Step 4.1

To write $- \frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{- \frac{17}{20} - \frac{2}{5} \cdot \frac{4}{4}}{2}$

Step 4.2

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.2.1

Multiply $\frac{2}{5}$ by $\frac{4}{4}$ .

$\frac{- \frac{17}{20} - \frac{2 \cdot 4}{5 \cdot 4}}{2}$

Step 4.2.2

Multiply $5$ by $4$ .

$\frac{- \frac{17}{20} - \frac{2 \cdot 4}{20}}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{- 17 - 2 \cdot 4}{20}}{2}$

Step 4.4

Simplify the numerator.

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Step 4.4.1

Multiply $- 2$ by $4$ .

$\frac{\frac{- 17 - 8}{20}}{2}$

Step 4.4.2

Subtract $8$ from $- 17$ .

$\frac{\frac{- 25}{20}}{2}$

Step 4.5

Reduce the expression by cancelling the common factors.

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Step 4.5.1

Cancel the common factor of $- 25$ and $20$ .

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Step 4.5.1.1

Factor $5$ out of $- 25$ .

$\frac{\frac{5 (- 5)}{20}}{2}$

Step 4.5.1.2

Cancel the common factors.

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Step 4.5.1.2.1

Factor $5$ out of $20$ .

$\frac{\frac{5 \cdot - 5}{5 \cdot 4}}{2}$

Step 4.5.1.2.2

Cancel the common factor.

$\frac{\frac{5 \cdot - 5}{5 \cdot 4}}{2}$

Step 4.5.1.2.3

Rewrite the expression.

$\frac{\frac{- 5}{4}}{2}$

Step 4.5.2

Move the negative in front of the fraction.

$\frac{- \frac{5}{4}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$- \frac{5}{4} \cdot \frac{1}{2}$

Step 6

Multiply $- \frac{5}{4} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{1}{2}$ by $\frac{5}{4}$ .

$- \frac{5}{2 \cdot 4}$

Step 6.2

Multiply $2$ by $4$ .

$- \frac{5}{8}$

Step 7

Convert the median $- \frac{5}{8}$ to decimal.

$- 0.625$