2/97, 91/92, 1 4/6 Fractions Average Calculator

2/97, 91/92, 1 4/6 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 2/97, 91/92, 1 4/6

Given fractions are 2/97,91/92,5/3

The LCM of 97,92,3 (denominators of the fractions) is 26772

Finding LCM of 97,92,3 by Common Division

Arrange the Inputs 97,92,3 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.

Given numbers has no common factors except 1. So, there LCM is their product i.e 26772

Finding LCM of 97,92,3 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(97, 92) = 1

LCM(97, 92) = ( 97 x 92 ) / 1

LCM(97, 92) = 8924 / 1

LCM(97, 92) = 8924

Step2:

Here we consider the LCM from the above i.e. 8924 as first number and the next as 3

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

GCF(8924, 3) = 1

LCM(8924, 3) = ( 8924 x 3 ) / 1

LCM(8924, 3) = 26772 / 1

LCM(8924, 3) = 26772

LCM of 97,92,3 is 26772

The least common Multiple (LCM) is: 26772.

Rewriting as equivalent fractions with the LCM:

= 552/26772,26481/26772,44620/26772

= 552+26481+44620/26772

Totaling the numerator:

71653/26772

Dividing by the number of values: 3

The given fractions are 71653/26772 and 3/1

On dividing the both fractions,71653/26772 ÷ 3/1

Then the denominator of the first fraction i.e., 26772 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:

71653/26772 ÷ 3/1 = 71653 x 1/26772 x 3

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

71653/80316

Result: 71653/80316

Average of fraction = 71653/80316

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FAQs on Average of Fractions 2/97, 91/92, 1 4/6

1. What is the average of fractions 2/97, 91/92, 1 4/6 ?

Average of Fractions is 71653/80316

2. How to find the Average of Fractions 2/97, 91/92, 1 4/6 ?

Set up an addition equation with the given fractions 2/97, 91/92, 1 4/6 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 2/97, 91/92, 1 4/6 ?

You can find the elaborate solution to find the Average of Fractions 2/97, 91/92, 1 4/6 on our page.