Basic Math Examples

$\frac{- 11}{98}$ , $\frac{13}{28}$

Step 1

Arrange the terms in ascending order.

$\frac{- 11}{98}, \frac{13}{28}$

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.

$\frac{\frac{- 11}{98} + \frac{13}{28}}{2}$

Step 3

Remove parentheses.

$\frac{\frac{- 11}{98} + \frac{13}{28}}{2}$

Step 4

Simplify the numerator.

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Step 4.1

To write $\frac{- 11}{98}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{- 11}{98} \cdot \frac{2}{2} + \frac{13}{28}}{2}$

Step 4.2

To write $\frac{13}{28}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{\frac{- 11}{98} \cdot \frac{2}{2} + \frac{13}{28} \cdot \frac{7}{7}}{2}$

Step 4.3

Write each expression with a common denominator of $196$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.3.1

Multiply $\frac{- 11}{98}$ by $\frac{2}{2}$ .

$\frac{\frac{- 11 \cdot 2}{98 \cdot 2} + \frac{13}{28} \cdot \frac{7}{7}}{2}$

Step 4.3.2

Multiply $98$ by $2$ .

$\frac{\frac{- 11 \cdot 2}{196} + \frac{13}{28} \cdot \frac{7}{7}}{2}$

Step 4.3.3

Multiply $\frac{13}{28}$ by $\frac{7}{7}$ .

$\frac{\frac{- 11 \cdot 2}{196} + \frac{13 \cdot 7}{28 \cdot 7}}{2}$

Step 4.3.4

Multiply $28$ by $7$ .

$\frac{\frac{- 11 \cdot 2}{196} + \frac{13 \cdot 7}{196}}{2}$

Step 4.4

Combine the numerators over the common denominator.

$\frac{\frac{- 11 \cdot 2 + 13 \cdot 7}{196}}{2}$

Step 4.5

Simplify the numerator.

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Step 4.5.1

Multiply $- 11$ by $2$ .

$\frac{\frac{- 22 + 13 \cdot 7}{196}}{2}$

Step 4.5.2

Multiply $13$ by $7$ .

$\frac{\frac{- 22 + 91}{196}}{2}$

Step 4.5.3

Add $- 22$ and $91$ .

$\frac{\frac{69}{196}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{69}{196} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{69}{196} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{69}{196}$ by $\frac{1}{2}$ .

$\frac{69}{196 \cdot 2}$

Step 6.2

Multiply $196$ by $2$ .

$\frac{69}{392}$

Step 7

Convert the median $\frac{69}{392}$ to decimal.

$0.1760204$