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# Average of Mixed Number Calculator

Mixed number is a number consisting of an integer and a proper fraction. Here is a simple online Average of mixed number calculator helps you to calculate the mean of the mixed fractions. Just enter the Number of Terms and the mixed numbers, you will get Output Expression.

Mixed number is a number consisting of an integer and a proper fraction. Here is a simple online Average of mixed number calculator helps you to calculate the mean of the mixed fractions. Just enter the Number of Terms and the mixed numbers, you will get Output Expression.

#### Example

Consider three mixed numbers : 3 4/2,5 8/3,2 4/2
Step 1 : Convert all mixed numbers into improper fractions, 3 4/2 = (3x2)+4 / 2 = 10/2
5 8/3 = (5x3)+8 / 3 = 23/3
2 4/2 = (2x2)+4/2 = 8/2
Step 2 : Add all fractions,
= 10/2 + 23/3 + 8/2
LCM of the denominators, 2 and 3 is 6.
Equating all the denominators,
= (10x3) / (2x3) + (23x2)/(3x2)+ (8x3) / (2x3)
= 30/6 + 46/6 + 24/6
= (30+46+24) / 6
= 100/6 is the sum of all fractions.
Step 3 : Find average of the mixed fractions,
= (100/6) / (3/1)
= (100/6) x (1/3)
= 100/18
Step 4 : Convert into mixed number,
100 / 18 gives 5 as the quotient and 10 as remainder.
= 5 10/18