Basic Math Examples

1

$1$ ,

75 \div \frac{2}{3}

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

Step 1

Arrange the terms in ascending order.

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

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

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}

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

Step 3

Remove parentheses.

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

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

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}

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

Step 4.1.2

Multiply

75 (\frac{3}{2})

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

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Step 4.1.2.1

Combine

75

$75$ and

\frac{3}{2}

$\frac{3}{2}$ .

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

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

Step 4.1.2.2

Multiply

75

$75$ by

3

$3$ .

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

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

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

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

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

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

Step 4.2

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 4.3

Combine the numerators over the common denominator.

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

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

Step 4.4

Add

2

$2$ and

225

$225$ .

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

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

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

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

Step 5

Multiply the numerator by the reciprocal of the denominator.

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

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

Step 6

Multiply

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

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

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Step 6.1

Multiply

\frac{227}{2}

$\frac{227}{2}$ by

\frac{1}{2}

$\frac{1}{2}$ .

\frac{227}{2 \cdot 2}

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

Step 6.2

Multiply

2

$2$ by

2

$2$ .

\frac{227}{4}

$\frac{227}{4}$

\frac{227}{4}

$\frac{227}{4}$

Step 7

Convert the median

\frac{227}{4}

$\frac{227}{4}$ to decimal.

56.75

$56.75$