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Basic Math Examples
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Step 1
Arrange the terms in ascending order.
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.
Step 3
Remove parentheses.
Step 4
Step 4.1
To write as a fraction with a common denominator, multiply by .
Step 4.2
Combine and .
Step 4.3
Combine the numerators over the common denominator.
Step 4.4
Simplify the numerator.
Step 4.4.1
Multiply by .
Step 4.4.2
Add and .
Step 4.5
Cancel the common factor of and .
Step 4.5.1
Factor out of .
Step 4.5.2
Cancel the common factors.
Step 4.5.2.1
Factor out of .
Step 4.5.2.2
Cancel the common factor.
Step 4.5.2.3
Rewrite the expression.
Step 5
Step 5.1
Multiply the numerator by the reciprocal of the denominator.
Step 5.2
Cancel the common factor of .
Step 5.2.1
Factor out of .
Step 5.2.2
Cancel the common factor.
Step 5.2.3
Rewrite the expression.
Step 5.3
Combine and .
Step 5.4
Multiply by .
Step 5.5
To write as a fraction with a common denominator, multiply by .
Step 5.6
Combine and .
Step 5.7
Combine the numerators over the common denominator.
Step 5.8
Simplify the numerator.
Step 5.8.1
Multiply by .
Step 5.8.2
Subtract from .
Step 5.9
To write as a fraction with a common denominator, multiply by .
Step 5.10
Combine and .
Step 5.11
Combine the numerators over the common denominator.
Step 5.12
Simplify the numerator.
Step 5.12.1
Multiply by .
Step 5.12.2
Add and .
Step 6
Multiply the numerator by the reciprocal of the denominator.
Step 7
Step 7.1
Factor out of .
Step 7.2
Cancel the common factor.
Step 7.3
Rewrite the expression.
Step 8
Convert the median to decimal.