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1/2, 3/4, 1/12 Fractions Average Calculator

1/2, 3/4, 1/12 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.

Average of Fractions:

Finding Average of 1/2, 3/4, 1/12

Given fractions are 1/2,3/4,1/12

The LCM of 2,4,12 (denominators of the fractions) is 12

Finding LCM of 2,4,12 by Common Division

Arrange the Inputs 2,4,12 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.

2 2, 4, 12
2 1, 2, 6
1, 1, 3

As all the numbers left in the last row are co primes you need not do the common division process further.

To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 2 x 2 x 1 x 1 x 3 = 12

Therefore, LCM of 2,4,12 is 12

Finding LCM of 2,4,12 using GCF Formula

Step1:

Let's calculate the LCM of first two numbers

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(2, 4) = 2

LCM(2, 4) = ( 2 x 4 ) / 2

LCM(2, 4) = 8 / 2

LCM(2, 4) = 4


Step2:

Here we consider the LCM from the above i.e. 4 as first number and the next as 12

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(4, 12) = 4

LCM(4, 12) = ( 4 x 12 ) / 4

LCM(4, 12) = 48 / 4

LCM(4, 12) = 12

LCM of 2,4,12 is 12

The least common Multiple (LCM) is: 12.

Rewriting as equivalent fractions with the LCM:

= 6/12,9/12,1/12

= 6+9+1/12

Totaling the numerator:

16/12

Reducing the fraction:

4/3

Dividing by the number of values: 3

The given fractions are 4/3 and 3/1

On dividing the both fractions,4/3 ÷ 3/1

Then the denominator of the first fraction i.e., 3 will comes to the numerator of the second fraction and gets multiplied,

And in the same way,the denominator of the second fraction i.e., 1 will comes to the numerator of the first fraction and gets multiplied:

4/3 ÷ 3/1 = 4 x 1/3 x 3

On Multiplying the denominators and the numerators,the fraction value we get,

4/9

Result: 4/9

Average of fraction = 4/9

Average of Fractions Calculation Examples

FAQs on Average of Fractions 1/2, 3/4, 1/12

1. What is the average of fractions 1/2, 3/4, 1/12 ?

Average of Fractions is 4/9


2. How to find the Average of Fractions 1/2, 3/4, 1/12 ?

Set up an addition equation with the given fractions 1/2, 3/4, 1/12 and then find the LCD. Rewrite each of the fractions as equivalent fractions using LCD. Add the numerators and place the sum over the LCD and reduce it further.


3. Where do I find an elaborate solution to find the Average of Fractions 1/2, 3/4, 1/12 ?

You can find the elaborate solution to find the Average of Fractions 1/2, 3/4, 1/12 on our page.