Basic Math Examples

$1$ , $75 \div \frac{2}{3}$

Step 1

Arrange the terms in ascending order.

$1, 75 \div \frac{2}{3}$

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.

$\frac{1 + 75 \div \frac{2}{3}}{2}$

Step 3

Remove parentheses.

$\frac{1 + 75 \div \frac{2}{3}}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Simplify each term.

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Step 4.1.1

To divide by a fraction, multiply by its reciprocal.

$\frac{1 + 75 (\frac{3}{2})}{2}$

Step 4.1.2

Multiply $75 (\frac{3}{2})$ .

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Step 4.1.2.1

Combine $75$ and $\frac{3}{2}$ .

$\frac{1 + \frac{75 \cdot 3}{2}}{2}$

Step 4.1.2.2

Multiply $75$ by $3$ .

$\frac{1 + \frac{225}{2}}{2}$

Step 4.2

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

$\frac{\frac{2}{2} + \frac{225}{2}}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{2 + 225}{2}}{2}$

Step 4.4

Add $2$ and $225$ .

$\frac{\frac{227}{2}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{227}{2} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{227}{2} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{227}{2}$ by $\frac{1}{2}$ .

$\frac{227}{2 \cdot 2}$

Step 6.2

Multiply $2$ by $2$ .

$\frac{227}{4}$

Step 7

Convert the median $\frac{227}{4}$ to decimal.

$56.75$