Average of Fractions

 
Fraction A (a/b)
Fraction B (c/d)
Average  =  `13/12`
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GENERATE WORK
GENERATE WORK

Fractions Average - Work with steps

Input Data :
Fraction A = `2/3`
Fraction B = `3/2`

Objective :
Find what is the fraction average for given input data?

Formula :
Average = `(A + B)/2`

Solution :
Average` = ((2/3+3/2))/2`
`2/3 + 3/2 = ?`
denominator of the two fraction is different. Therefore, find lcm for two denominators (3, 2) = 6
Multiply lcm with both numerator & denominator
`2/3 + 3/2 = (2\times6)/(3\times6) + (3\times6)/(2\times6)`

= `(2\times2)/(6) + (3\times3)/(6)`

= `(4)/(6) + (9)/(6)`

Add two numerator of the fraction
`(4)/(6) + (9)/(6) = (4 + 9)/6 = 13/6`

Average = `(13/6)/2`

Average = `13/12`

Fractions Average

Fractions average calculator & example to find the average of two or more regular & improper fractions. Refer the example calculation to know how to find the mid-point between two fractions.

Two or More Fractions Average - Example

The below solved example calculation shows how to find the average of two or more regular & improper fractions.

Note :
Add the fractions together and divide by the count of fractions provides the average of two or more fractions. If the denominators are not common to each other, use the LCD (least common denominator) to make them equal to each other to find the sum of fractions.

Example :
Average of two or more regular & irregular fractions.

Example Question :
Find the average of 1/2 + 1/3?

Answer :
AVERAGE = {1/2 + 1/3}/{2}
find the LCD for fractions to add the fractions, since the denominators are not equal to each other
= {3/6 + 2/6}/{2}
= {5/6}/{2}
= 5/12
{1/2 + 1/3}/{2} = 5/12

5/12 is an average of {1/2 + 1/3}. Users can refer the example to learn how to do it yourself the average of two or more fractions or use this calculator to verify the results.