Basic Math Examples

$\frac{7}{8} \cdot 6$ , $\frac{1}{4} \cdot 4$ , $\frac{1}{2}$ , $\frac{5}{6}$

Step 1

Arrange the terms in ascending order.

$\frac{1}{2}, \frac{5}{6}, \frac{1}{4} \cdot 4, \frac{7}{8} \cdot 6$

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.

$\frac{\frac{5}{6} + \frac{1}{4} \cdot 4}{2}$

Step 3

Remove parentheses.

$\frac{\frac{5}{6} + \frac{1}{4} \cdot 4}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Cancel the common factor of $4$ .

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Step 4.1.1

Cancel the common factor.

$\frac{\frac{5}{6} + \frac{1}{4} \cdot 4}{2}$

Step 4.1.2

Rewrite the expression.

$\frac{\frac{5}{6} + 1}{2}$

Step 4.2

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

$\frac{\frac{5}{6} + \frac{6}{6}}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{5 + 6}{6}}{2}$

Step 4.4

Add $5$ and $6$ .

$\frac{\frac{11}{6}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{11}{6} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{11}{6} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{11}{6}$ by $\frac{1}{2}$ .

$\frac{11}{6 \cdot 2}$

Step 6.2

Multiply $6$ by $2$ .

$\frac{11}{12}$

Step 7

Convert the median $\frac{11}{12}$ to decimal.

$0.91\overline{6}$