# Find the Mean (Arithmetic) 3/8 , 1/4 , 5/16 , 7/64

38 , 14 , 516 , 764
The mean of a set of numbers is the sum divided by the number of terms.
38+14+516+7644
Simplify the numerator.
To write 14 as a fraction with a common denominator, multiply by 22.
38+14⋅22+516+7644
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
Multiply 14 and 22.
38+24⋅2+516+7644
Multiply 4 by 2.
38+28+516+7644
38+28+516+7644
Combine the numerators over the common denominator.
3+28+516+7644
58+516+7644
To write 58 as a fraction with a common denominator, multiply by 22.
58⋅22+516+7644
Write each expression with a common denominator of 16, by multiplying each by an appropriate factor of 1.
Multiply 58 and 22.
5⋅28⋅2+516+7644
Multiply 8 by 2.
5⋅216+516+7644
5⋅216+516+7644
Combine the numerators over the common denominator.
5⋅2+516+7644
Simplify the numerator.
Multiply 5 by 2.
10+516+7644
1516+7644
1516+7644
To write 1516 as a fraction with a common denominator, multiply by 44.
1516⋅44+7644
Write each expression with a common denominator of 64, by multiplying each by an appropriate factor of 1.
Multiply 1516 and 44.
15⋅416⋅4+7644
Multiply 16 by 4.
15⋅464+7644
15⋅464+7644
Combine the numerators over the common denominator.
15⋅4+7644
Simplify the numerator.
Multiply 15 by 4.
60+7644
67644
67644
67644
Multiply the numerator by the reciprocal of the denominator.
6764⋅14
Multiply 6764⋅14.
Multiply 6764 and 14.
6764⋅4
Multiply 64 by 4.
67256
67256
Divide.
0.26171875
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.
0.3
Find the Mean (Arithmetic) 3/8 , 1/4 , 5/16 , 7/64

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