Basic Math Examples

$\frac{81}{2} \cdot 3$ , $1416$

Step 1

Arrange the terms in ascending order.

$\frac{81}{2} \cdot 3, 1416$

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.

$\frac{\frac{81}{2} \cdot 3 + 1416}{2}$

Step 3

Remove parentheses.

$\frac{\frac{81}{2} \cdot 3 + 1416}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $\frac{81}{2} \cdot 3$ .

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Step 4.1.1

Combine $\frac{81}{2}$ and $3$ .

$\frac{\frac{81 \cdot 3}{2} + 1416}{2}$

Step 4.1.2

Multiply $81$ by $3$ .

$\frac{\frac{243}{2} + 1416}{2}$

Step 4.2

To write $1416$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{243}{2} + 1416 \cdot \frac{2}{2}}{2}$

Step 4.3

Combine $1416$ and $\frac{2}{2}$ .

$\frac{\frac{243}{2} + \frac{1416 \cdot 2}{2}}{2}$

Step 4.4

Combine the numerators over the common denominator.

$\frac{\frac{243 + 1416 \cdot 2}{2}}{2}$

Step 4.5

Simplify the numerator.

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Step 4.5.1

Multiply $1416$ by $2$ .

$\frac{\frac{243 + 2832}{2}}{2}$

Step 4.5.2

Add $243$ and $2832$ .

$\frac{\frac{3075}{2}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{3075}{2} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{3075}{2} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{3075}{2}$ by $\frac{1}{2}$ .

$\frac{3075}{2 \cdot 2}$

Step 6.2

Multiply $2$ by $2$ .

$\frac{3075}{4}$

Step 7

Convert the median $\frac{3075}{4}$ to decimal.

$768.75$