8/93, 40/57, 5 7/8 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 8/93, 40/57, 5 7/8

Given fractions are 8/93,40/57,47/8

The LCM of 93,57,8 (denominators of the fractions) is 14136

Finding LCM of 93,57,8 by Common Division

Arrange the Inputs 93,57,8 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 93, 57, 8
31, 19, 8

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 31 x 19 x 8 = 14136

Therefore, LCM of 93,57,8 is 14136

Finding LCM of 93,57,8 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(93, 57) = 3

LCM(93, 57) = ( 93 x 57 ) / 3

LCM(93, 57) = 5301 / 3

LCM(93, 57) = 1767


Step2:

Here we consider the LCM from the above i.e. 1767 as first number and the next as 8

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

GCF(1767, 8) = 1

LCM(1767, 8) = ( 1767 x 8 ) / 1

LCM(1767, 8) = 14136 / 1

LCM(1767, 8) = 14136

LCM of 93,57,8 is 14136

The least common Multiple (LCM) is: 14136.

Rewriting as equivalent fractions with the LCM:

= 1216/14136,9920/14136,83049/14136

= 1216+9920+83049/14136

Totaling the numerator:

94185/14136

Reducing the fraction:

31395/4712

Dividing by the number of values: 3

The given fractions are 31395/4712 and 3/1

On dividing the both fractions,31395/4712 ÷ 3/1

Then the denominator of the first fraction i.e., 4712 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:

31395/4712 ÷ 3/1 = 31395 x 1/4712 x 3

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

31395/14136

Result: 10465/4712

Average of fraction = 10465/4712

FAQs on Average of Fractions 8/93, 40/57, 5 7/8

1. What is the average of fractions 8/93, 40/57, 5 7/8 ?

Average of Fractions is 10465/4712


2. How to find the Average of Fractions 8/93, 40/57, 5 7/8 ?

Set up an addition equation with the given fractions 8/93, 40/57, 5 7/8 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 8/93, 40/57, 5 7/8 ?

You can find the elaborate solution to find the Average of Fractions 8/93, 40/57, 5 7/8 on our page.