# Find the Mean (Arithmetic) 1/6 , 3/14

16 , 314
The mean of a set of numbers is the sum divided by the number of terms.
16+3142
Simplify the numerator.
To write 16 as a fraction with a common denominator, multiply by 77.
16⋅77+3142
To write 314 as a fraction with a common denominator, multiply by 33.
16⋅77+314⋅332
Write each expression with a common denominator of 42, by multiplying each by an appropriate factor of 1.
Multiply 16 and 77.
76⋅7+314⋅332
Multiply 6 by 7.
742+314⋅332
Multiply 314 and 33.
742+3⋅314⋅32
Multiply 14 by 3.
742+3⋅3422
742+3⋅3422
Combine the numerators over the common denominator.
7+3⋅3422
Simplify the numerator.
Multiply 3 by 3.
7+9422
16422
16422
Cancel the common factor of 16 and 42.
Factor 2 out of 16.
2(8)422
Cancel the common factors.
Factor 2 out of 42.
2⋅82⋅212
Cancel the common factor.
2⋅82⋅212
Rewrite the expression.
8212
8212
8212
8212
Multiply the numerator by the reciprocal of the denominator.
821⋅12
Cancel the common factor of 2.
Factor 2 out of 8.
2(4)21⋅12
Cancel the common factor.
2⋅421⋅12
Rewrite the expression.
421
421
Divide.
0.190476‾
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.
0.2
Find the Mean (Arithmetic) 1/6 , 3/14

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