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1 1/7, 29/79, 99/17, 9/4 Fractions Average Calculator

1 1/7, 29/79, 99/17, 9/4 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 1/7, 29/79, 99/17, 9/4

Given fractions are 8/7,29/79,99/17,9/4

The LCM of 7,79,17,4 (denominators of the fractions) is 37604

Finding LCM of 7,79,17,4 by Common Division

Arrange the Inputs 7,79,17,4 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 37604

Finding LCM of 7,79,17,4 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(7, 79) = 1

LCM(7, 79) = ( 7 x 79 ) / 1

LCM(7, 79) = 553 / 1

LCM(7, 79) = 553


Step2:

Here we consider the LCM from the above i.e. 553 as first number and the next as 17

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

GCF(553, 17) = 1

LCM(553, 17) = ( 553 x 17 ) / 1

LCM(553, 17) = 9401 / 1

LCM(553, 17) = 9401


Step3:

Here we consider the LCM from the above i.e. 9401 as first number and the next as 4

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

GCF(9401, 4) = 1

LCM(9401, 4) = ( 9401 x 4 ) / 1

LCM(9401, 4) = 37604 / 1

LCM(9401, 4) = 37604

LCM of 7,79,17,4 is 37604

The least common Multiple (LCM) is: 37604.

Rewriting as equivalent fractions with the LCM:

= 42976/37604,13804/37604,218988/37604,84609/37604

= 42976+13804+218988+84609/37604

Totaling the numerator:

360377/37604

Dividing by the number of values: 4

The given fractions are 360377/37604 and 4/1

On dividing the both fractions,360377/37604 ÷ 4/1

Then the denominator of the first fraction i.e., 37604 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:

360377/37604 ÷ 4/1 = 360377 x 1/37604 x 4

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

360377/150416

Result: 360377/150416

Average of fraction = 360377/150416

Average of Fractions Calculation Examples

FAQs on Average of Fractions 1 1/7, 29/79, 99/17, 9/4

1. What is the average of fractions 1 1/7, 29/79, 99/17, 9/4 ?

Average of Fractions is 360377/150416


2. How to find the Average of Fractions 1 1/7, 29/79, 99/17, 9/4 ?

Set up an addition equation with the given fractions 1 1/7, 29/79, 99/17, 9/4 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 1/7, 29/79, 99/17, 9/4 ?

You can find the elaborate solution to find the Average of Fractions 1 1/7, 29/79, 99/17, 9/4 on our page.