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1 8/71, 4/91, 53/61 Fractions Average Calculator

1 8/71, 4/91, 53/61 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 1 8/71, 4/91, 53/61

Given fractions are 79/71,4/91,53/61

The LCM of 71,91,61 (denominators of the fractions) is 394121

Finding LCM of 71,91,61 by Common Division

Arrange the Inputs 71,91,61 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 394121

Finding LCM of 71,91,61 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(71, 91) = 1

LCM(71, 91) = ( 71 x 91 ) / 1

LCM(71, 91) = 6461 / 1

LCM(71, 91) = 6461


Step2:

Here we consider the LCM from the above i.e. 6461 as first number and the next as 61

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

GCF(6461, 61) = 1

LCM(6461, 61) = ( 6461 x 61 ) / 1

LCM(6461, 61) = 394121 / 1

LCM(6461, 61) = 394121

LCM of 71,91,61 is 394121

The least common Multiple (LCM) is: 394121.

Rewriting as equivalent fractions with the LCM:

= 438529/394121,17324/394121,342433/394121

= 438529+17324+342433/394121

Totaling the numerator:

798286/394121

Dividing by the number of values: 3

The given fractions are 798286/394121 and 3/1

On dividing the both fractions,798286/394121 ÷ 3/1

Then the denominator of the first fraction i.e., 394121 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:

798286/394121 ÷ 3/1 = 798286 x 1/394121 x 3

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

798286/1182363

Result: 798286/1182363

Average of fraction = 798286/1182363

Average of Fractions Calculation Examples

FAQs on Average of Fractions 1 8/71, 4/91, 53/61

1. What is the average of fractions 1 8/71, 4/91, 53/61 ?

Average of Fractions is 798286/1182363


2. How to find the Average of Fractions 1 8/71, 4/91, 53/61 ?

Set up an addition equation with the given fractions 1 8/71, 4/91, 53/61 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 1 8/71, 4/91, 53/61 ?

You can find the elaborate solution to find the Average of Fractions 1 8/71, 4/91, 53/61 on our page.