# Find the Mean (Arithmetic) 14 13/25+10 1/3

14 1325+1013
Convert 1013 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
14,1325+10+13
To write 10 as a fraction with a common denominator, multiply by 33.
14,1325+10⋅33+13
Combine 10 and 33.
14,1325+10⋅33+13
Combine the numerators over the common denominator.
14,1325+10⋅3+13
Simplify the numerator.
Multiply 10 by 3.
14,1325+30+13
14,1325+313
14,1325+313
14,1325+313
14,1325+313
To write 1325 as a fraction with a common denominator, multiply by 33.
14,1325⋅33+313
To write 313 as a fraction with a common denominator, multiply by 2525.
14,1325⋅33+313⋅2525
Write each expression with a common denominator of 75, by multiplying each by an appropriate factor of 1.
Multiply 1325 and 33.
14,13⋅325⋅3+313⋅2525
Multiply 25 by 3.
14,13⋅375+313⋅2525
Multiply 313 and 2525.
14,13⋅375+31⋅253⋅25
Multiply 3 by 25.
14,13⋅375+31⋅2575
14,13⋅375+31⋅2575
Combine the numerators over the common denominator.
14,13⋅3+31⋅2575
Simplify the numerator.
Multiply 13 by 3.
14,39+31⋅2575
Multiply 31 by 25.
14,39+77575
14,81475
14,81475
The mean of a set of numbers is the sum divided by the number of terms.
14+814752
Cancel the common factor of 14+81475 and 2.
Factor 2 out of 14.
2⋅7+814752
Factor 2 out of 81475.
2⋅7+2(40775)2
Factor 2 out of 2⋅7+2(40775).
2⋅(7+40775)2
Cancel the common factors.
Factor 2 out of 2.
2⋅(7+40775)2(1)
Cancel the common factor.
2⋅(7+40775)2⋅1
Rewrite the expression.
7+407751
Divide 7+40775 by 1.
7+40775
7+40775
7+40775
To write 7 as a fraction with a common denominator, multiply by 7575.
7⋅7575+40775
Combine 7 and 7575.
7⋅7575+40775
Combine the numerators over the common denominator.
7⋅75+40775
Simplify the numerator.
Multiply 7 by 75.
525+40775
93275
93275
Divide.
12.426‾
The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.
12.4
Find the Mean (Arithmetic) 14 13/25+10 1/3

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