# Find the Median 5 4/25 , 6 6/15

5425 , 6615
Arrange the terms in ascending order.
5425,6615
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.
5425+66152
Remove parentheses.
5425+66152
Convert 5425 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
5+425+66152
To write 5 as a fraction with a common denominator, multiply by 2525.
5⋅2525+425+66152
Combine 5 and 2525.
5⋅2525+425+66152
Combine the numerators over the common denominator.
5⋅25+425+66152
Simplify the numerator.
Multiply 5 by 25.
125+425+66152
12925+66152
12925+66152
12925+66152
12925+66152
Convert 6615 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
12925+6+6152
To write 6 as a fraction with a common denominator, multiply by 1515.
12925+6⋅1515+6152
Combine 6 and 1515.
12925+6⋅1515+6152
Combine the numerators over the common denominator.
12925+6⋅15+6152
Simplify the numerator.
Multiply 6 by 15.
12925+90+6152
12925+96152
12925+96152
12925+96152
12925+96152
Cancel the common factor of 96 and 15.
Factor 3 out of 96.
12925+3(32)152
Cancel the common factors.
Factor 3 out of 15.
12925+3⋅323⋅52
Cancel the common factor.
12925+3⋅323⋅52
Rewrite the expression.
12925+3252
12925+3252
12925+3252
Simplify the numerator.
To write 325 as a fraction with a common denominator, multiply by 55.
12925+325⋅552
Write each expression with a common denominator of 25, by multiplying each by an appropriate factor of 1.
Multiply 325 and 55.
12925+32⋅55⋅52
Multiply 5 by 5.
12925+32⋅5252
12925+32⋅5252
Combine the numerators over the common denominator.
129+32⋅5252
Simplify the numerator.
Multiply 32 by 5.
129+160252
289252
289252
289252
Multiply the numerator by the reciprocal of the denominator.
28925⋅12
Multiply 28925⋅12.
Multiply 28925 and 12.
28925⋅2
Multiply 25 by 2.
28950
28950
Convert the median 28950 to decimal.
5.78
Find the Median 5 4/25 , 6 6/15

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