Basic Math Examples

$25 \div 60$ , $179$

Step 1

Arrange the terms in ascending order.

$25 \div 60, 179$

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.

$\frac{25 \div 60 + 179}{2}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Remove parentheses.

$\frac{25 \div 60 + 179}{2}$

Step 3.2

Cancel the common factor of $25$ and $60$ .

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Step 3.2.1

Factor $5$ out of $25$ .

$\frac{5 (5) \div 60 + 179}{2}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $5$ out of $60$ .

$\frac{5 \cdot 5 \div 5 \cdot 12 + 179}{2}$

Step 3.2.2.2

Cancel the common factor.

$\frac{5 \cdot 5 \div 5 \cdot 12 + 179}{2}$

Step 3.2.2.3

Rewrite the expression.

$\frac{\frac{5}{12} + 179}{2}$

Step 4

Simplify the numerator.

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Step 4.1

To write $179$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$\frac{\frac{5}{12} + 179 \cdot \frac{12}{12}}{2}$

Step 4.2

Combine $179$ and $\frac{12}{12}$ .

$\frac{\frac{5}{12} + \frac{179 \cdot 12}{12}}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{5 + 179 \cdot 12}{12}}{2}$

Step 4.4

Simplify the numerator.

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Step 4.4.1

Multiply $179$ by $12$ .

$\frac{\frac{5 + 2148}{12}}{2}$

Step 4.4.2

Add $5$ and $2148$ .

$\frac{\frac{2153}{12}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{2153}{12} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{2153}{12} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{2153}{12}$ by $\frac{1}{2}$ .

$\frac{2153}{12 \cdot 2}$

Step 6.2

Multiply $12$ by $2$ .

$\frac{2153}{24}$

Step 7

Convert the median $\frac{2153}{24}$ to decimal.

$89.708\overline{3}$