3/29, 35/34, 5 1/7 Fractions Average Calculator

3/29, 35/34, 5 1/7 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 3/29, 35/34, 5 1/7

Given fractions are 3/29,35/34,36/7

The LCM of 29,34,7 (denominators of the fractions) is 6902

Finding LCM of 29,34,7 by Common Division

Arrange the Inputs 29,34,7 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 6902

Finding LCM of 29,34,7 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(29, 34) = 1

LCM(29, 34) = ( 29 x 34 ) / 1

LCM(29, 34) = 986 / 1

LCM(29, 34) = 986

Step2:

Here we consider the LCM from the above i.e. 986 as first number and the next as 7

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

GCF(986, 7) = 1

LCM(986, 7) = ( 986 x 7 ) / 1

LCM(986, 7) = 6902 / 1

LCM(986, 7) = 6902

LCM of 29,34,7 is 6902

The least common Multiple (LCM) is: 6902.

Rewriting as equivalent fractions with the LCM:

= 714/6902,7105/6902,35496/6902

= 714+7105+35496/6902

Totaling the numerator:

43315/6902

Dividing by the number of values: 3

The given fractions are 43315/6902 and 3/1

On dividing the both fractions,43315/6902 ÷ 3/1

Then the denominator of the first fraction i.e., 6902 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:

43315/6902 ÷ 3/1 = 43315 x 1/6902 x 3

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

43315/20706

Result: 43315/20706

Average of fraction = 43315/20706

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FAQs on Average of Fractions 3/29, 35/34, 5 1/7

1. What is the average of fractions 3/29, 35/34, 5 1/7 ?

Average of Fractions is 43315/20706

2. How to find the Average of Fractions 3/29, 35/34, 5 1/7 ?

Set up an addition equation with the given fractions 3/29, 35/34, 5 1/7 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 3/29, 35/34, 5 1/7 ?

You can find the elaborate solution to find the Average of Fractions 3/29, 35/34, 5 1/7 on our page.