6 9/45, 97/12, 81/29, 2/9 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 6 9/45, 97/12, 81/29, 2/9

Given fractions are 31/5,97/12,81/29,2/9

The LCM of 5,12,29,9 (denominators of the fractions) is 5220

Finding LCM of 5,12,29,9 by Common Division

Arrange the Inputs 5,12,29,9 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 5, 12, 29, 9
5, 4, 29, 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 5 x 4 x 29 x 3 = 5220

Therefore, LCM of 5,12,29,9 is 5220

Finding LCM of 5,12,29,9 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(5, 12) = 1

LCM(5, 12) = ( 5 x 12 ) / 1

LCM(5, 12) = 60 / 1

LCM(5, 12) = 60


Step2:

Here we consider the LCM from the above i.e. 60 as first number and the next as 29

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

GCF(60, 29) = 1

LCM(60, 29) = ( 60 x 29 ) / 1

LCM(60, 29) = 1740 / 1

LCM(60, 29) = 1740


Step3:

Here we consider the LCM from the above i.e. 1740 as first number and the next as 9

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

GCF(1740, 9) = 3

LCM(1740, 9) = ( 1740 x 9 ) / 3

LCM(1740, 9) = 15660 / 3

LCM(1740, 9) = 5220

LCM of 5,12,29,9 is 5220

The least common Multiple (LCM) is: 5220.

Rewriting as equivalent fractions with the LCM:

= 32364/5220,42195/5220,14580/5220,1160/5220

= 32364+42195+14580+1160/5220

Totaling the numerator:

90299/5220

Dividing by the number of values: 4

The given fractions are 90299/5220 and 4/1

On dividing the both fractions,90299/5220 ÷ 4/1

Then the denominator of the first fraction i.e., 5220 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:

90299/5220 ÷ 4/1 = 90299 x 1/5220 x 4

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

90299/20880

Result: 90299/20880

Average of fraction = 90299/20880

FAQs on Average of Fractions 6 9/45, 97/12, 81/29, 2/9

1. What is the average of fractions 6 9/45, 97/12, 81/29, 2/9 ?

Average of Fractions is 90299/20880


2. How to find the Average of Fractions 6 9/45, 97/12, 81/29, 2/9 ?

Set up an addition equation with the given fractions 6 9/45, 97/12, 81/29, 2/9 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 6 9/45, 97/12, 81/29, 2/9 ?

You can find the elaborate solution to find the Average of Fractions 6 9/45, 97/12, 81/29, 2/9 on our page.