67/87, 49/41, 2/1, 7 1/44 Fractions Average Calculator
67/87, 49/41, 2/1, 7 1/44 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 67/87, 49/41, 2/1, 7 1/44
Given fractions are 67/87,49/41,2/1,309/44
The LCM of 87,41,1,44 (denominators of the fractions) is 156948
Arrange the Inputs 87,41,1,44 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 156948
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(87, 41) = 1
LCM(87, 41) = ( 87 x 41 ) / 1
LCM(87, 41) = 3567 / 1
LCM(87, 41) = 3567
Step2:
Here we consider the LCM from the above i.e. 3567 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3567, 1) = 1
LCM(3567, 1) = ( 3567 x 1 ) / 1
LCM(3567, 1) = 3567 / 1
LCM(3567, 1) = 3567
Step3:
Here we consider the LCM from the above i.e. 3567 as first number and the next as 44
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3567, 44) = 1
LCM(3567, 44) = ( 3567 x 44 ) / 1
LCM(3567, 44) = 156948 / 1
LCM(3567, 44) = 156948
LCM of 87,41,1,44 is 156948
The least common Multiple (LCM) is: 156948.
Rewriting as equivalent fractions with the LCM:
= 120868/156948,187572/156948,313896/156948,1102203/156948
= 120868+187572+313896+1102203/156948
Totaling the numerator:
1724539/156948
Dividing by the number of values: 4
The given fractions are 1724539/156948 and 4/1
On dividing the both fractions,1724539/156948 ÷ 4/1
Then the denominator of the first fraction i.e., 156948 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:
1724539/156948 ÷ 4/1 = 1724539 x 1/156948 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
1724539/627792
Result: 1724539/627792
Average of fraction = 1724539/627792
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FAQs on Average of Fractions 67/87, 49/41, 2/1, 7 1/44
1. What is the average of fractions 67/87, 49/41, 2/1, 7 1/44 ?
Average of Fractions is 1724539/627792
2. How to find the Average of Fractions 67/87, 49/41, 2/1, 7 1/44 ?
Set up an addition equation with the given fractions 67/87, 49/41, 2/1, 7 1/44 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 67/87, 49/41, 2/1, 7 1/44 ?
You can find the elaborate solution to find the Average of Fractions 67/87, 49/41, 2/1, 7 1/44 on our page.