# 31/49, 55/20, 2/3, 1 1/9 Fractions Average Calculator

31/49, 55/20, 2/3, 1 1/9 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 31/49, 55/20, 2/3, 1 1/9

Given fractions are 31/49,55/20,2/3,10/9

The LCM of 49,20,3,9 (denominators of the fractions) is 8820

## Finding LCM of 49,20,3,9 by Common Division

Arrange the Inputs 49,20,3,9 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 49, 20, 3, 9 49, 20, 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. 3 x 49 x 20 x 1 x 3 = 8820

Therefore, LCM of 49,20,3,9 is 8820

The least common Multiple (LCM) is: 8820.

Rewriting as equivalent fractions with the LCM:

= 5580/8820,24255/8820,5880/8820,9800/8820

= 5580+24255+5880+9800/8820

Totaling the numerator:

45515/8820

Reducing the fraction:

9103/1764

Dividing by the number of values: 4

The given fractions are 9103/1764 and 4/1

On dividing the both fractions,9103/1764 ÷ 4/1

Then the denominator of the first fraction i.e., 1764 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:

9103/1764 ÷ 4/1 = 9103 x 1/1764 x 4

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

9103/7056

Result: 9103/7056

Average of fraction = 9103/7056

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### FAQs on Average of Fractions 31/49, 55/20, 2/3, 1 1/9

1. What is the average of fractions 31/49, 55/20, 2/3, 1 1/9 ?

Average of Fractions is 9103/7056

2. How to find the Average of Fractions 31/49, 55/20, 2/3, 1 1/9 ?

Set up an addition equation with the given fractions 31/49, 55/20, 2/3, 1 1/9 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 31/49, 55/20, 2/3, 1 1/9 ?

You can find the elaborate solution to find the Average of Fractions 31/49, 55/20, 2/3, 1 1/9 on our page.