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27/69, 5/9, 86/38 Fractions Average Calculator

27/69, 5/9, 86/38 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 27/69, 5/9, 86/38

Given fractions are 27/69,5/9,86/38

The LCM of 69,9,38 (denominators of the fractions) is 7866

Finding LCM of 69,9,38 by Common Division

Arrange the Inputs 69,9,38 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.

3 69, 9, 38
23, 3, 38

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. 3 x 23 x 3 x 38 = 7866

Therefore, LCM of 69,9,38 is 7866

The least common Multiple (LCM) is: 7866.

Rewriting as equivalent fractions with the LCM:

= 3078/7866,4370/7866,17802/7866

= 3078+4370+17802/7866

Totaling the numerator:

25250/7866

Reducing the fraction:

12625/3933

Dividing by the number of values: 3

The given fractions are 12625/3933 and 3/1

On dividing the both fractions,12625/3933 ÷ 3/1

Then the denominator of the first fraction i.e., 3933 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:

12625/3933 ÷ 3/1 = 12625 x 1/3933 x 3

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

12625/11799

Result: 12625/11799

Average of fraction = 12625/11799

Average of Fractions Calculation Examples

FAQs on Average of Fractions 27/69, 5/9, 86/38

1. What is the average of fractions 27/69, 5/9, 86/38 ?

Average of Fractions is 12625/11799


2. How to find the Average of Fractions 27/69, 5/9, 86/38 ?

Set up an addition equation with the given fractions 27/69, 5/9, 86/38 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 27/69, 5/9, 86/38 ?

You can find the elaborate solution to find the Average of Fractions 27/69, 5/9, 86/38 on our page.