# Find the Mean (Arithmetic) 11/12 , 5/24 , 3/8

1112 , 524 , 38
The mean of a set of numbers is the sum divided by the number of terms.
1112+524+383
Simplify the numerator.
To write 1112 as a fraction with a common denominator, multiply by 22.
1112⋅22+524+383
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
Multiply 1112 and 22.
11⋅212⋅2+524+383
Multiply 12 by 2.
11⋅224+524+383
11⋅224+524+383
Combine the numerators over the common denominator.
11⋅2+524+383
Simplify the numerator.
Multiply 11 by 2.
22+524+383
2724+383
2724+383
To write 38 as a fraction with a common denominator, multiply by 33.
2724+38⋅333
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
Multiply 38 and 33.
2724+3⋅38⋅33
Multiply 8 by 3.
2724+3⋅3243
2724+3⋅3243
Combine the numerators over the common denominator.
27+3⋅3243
Simplify the numerator.
Multiply 3 by 3.
27+9243
36243
36243
Cancel the common factor of 36 and 24.
Factor 12 out of 36.
12(3)243
Cancel the common factors.
Factor 12 out of 24.
12⋅312⋅23
Cancel the common factor.
12⋅312⋅23
Rewrite the expression.
323
323
323
323
Multiply the numerator by the reciprocal of the denominator.
32⋅13
Cancel the common factor of 3.
Cancel the common factor.
32⋅13
Rewrite the expression.
12
12
Divide.
0.5
Find the Mean (Arithmetic) 11/12 , 5/24 , 3/8

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