Basic Math Examples

$45 \div 7$ , $5$

Step 1

Arrange the terms in ascending order.

$5, 45 \div 7$

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.

$\frac{5 + 45 \div 7}{2}$

Step 3

Remove parentheses.

$\frac{5 + 45 \div 7}{2}$

Step 4

Simplify the numerator.

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Step 4.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{5 \cdot \frac{7}{7} + 45 \div 7}{2}$

Step 4.2

Combine $5$ and $\frac{7}{7}$ .

$\frac{\frac{5 \cdot 7}{7} + 45 \div 7}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{5 \cdot 7 + 45}{7}}{2}$

Step 4.4

Simplify the numerator.

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Step 4.4.1

Multiply $5$ by $7$ .

$\frac{\frac{35 + 45}{7}}{2}$

Step 4.4.2

Add $35$ and $45$ .

$\frac{\frac{80}{7}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{80}{7} \cdot \frac{1}{2}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $80$ .

$\frac{2 (40)}{7} \cdot \frac{1}{2}$

Step 6.2

Cancel the common factor.

$\frac{2 \cdot 40}{7} \cdot \frac{1}{2}$

Step 6.3

Rewrite the expression.

$\frac{40}{7}$

Step 7

Convert the median $\frac{40}{7}$ to decimal.

$5.\overline{714285}$