Basic Math Examples

$\frac{17}{100} \cdot 10$ , $500$

Step 1

Arrange the terms in ascending order.

$\frac{17}{100} \cdot 10, 500$

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.

$\frac{\frac{17}{100} \cdot 10 + 500}{2}$

Step 3

Remove parentheses.

$\frac{\frac{17}{100} \cdot 10 + 500}{2}$

Step 4

Cancel the common factor of $\frac{17}{100} \cdot 10 + 500$ and $2$ .

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Step 4.1

Factor $2$ out of $\frac{17}{100} \cdot 10$ .

$\frac{2 (\frac{17}{100} \cdot 5) + 500}{2}$

Step 4.2

Factor $2$ out of $500$ .

$\frac{2 (\frac{17}{100} \cdot 5) + 2 \cdot 250}{2}$

Step 4.3

Factor $2$ out of $2 (\frac{17}{100} \cdot 5) + 2 (250)$ .

$\frac{2 (\frac{17}{100} \cdot 5 + 250)}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $2$ .

$\frac{2 (\frac{17}{100} \cdot 5 + 250)}{2 (1)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 (\frac{17}{100} \cdot 5 + 250)}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

$\frac{\frac{17}{100} \cdot 5 + 250}{1}$

Step 4.4.4

Divide $\frac{17}{100} \cdot 5 + 250$ by $1$ .

$\frac{17}{100} \cdot 5 + 250$

Step 5

Cancel the common factor of $5$ .

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Step 5.1

Factor $5$ out of $100$ .

$\frac{17}{5 (20)} \cdot 5 + 250$

Step 5.2

Cancel the common factor.

$\frac{17}{5 \cdot 20} \cdot 5 + 250$

Step 5.3

Rewrite the expression.

$\frac{17}{20} + 250$

Step 6

To write $250$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$\frac{17}{20} + 250 \cdot \frac{20}{20}$

Step 7

Combine $250$ and $\frac{20}{20}$ .

$\frac{17}{20} + \frac{250 \cdot 20}{20}$

Step 8

Combine the numerators over the common denominator.

$\frac{17 + 250 \cdot 20}{20}$

Step 9

Simplify the numerator.

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Step 9.1

Multiply $250$ by $20$ .

$\frac{17 + 5000}{20}$

Step 9.2

Add $17$ and $5000$ .

$\frac{5017}{20}$

Step 10

Convert the median $\frac{5017}{20}$ to decimal.

$250.85$