74/27, 69/43, 6/2, 2 4/10 Fractions Average Calculator
74/27, 69/43, 6/2, 2 4/10 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 74/27, 69/43, 6/2, 2 4/10
Given fractions are 74/27,69/43,6/2,12/5
The LCM of 27,43,2,5 (denominators of the fractions) is 11610
Arrange the Inputs 27,43,2,5 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 11610
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(27, 43) = 1
LCM(27, 43) = ( 27 x 43 ) / 1
LCM(27, 43) = 1161 / 1
LCM(27, 43) = 1161
Step2:
Here we consider the LCM from the above i.e. 1161 as first number and the next as 2
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1161, 2) = 1
LCM(1161, 2) = ( 1161 x 2 ) / 1
LCM(1161, 2) = 2322 / 1
LCM(1161, 2) = 2322
Step3:
Here we consider the LCM from the above i.e. 2322 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2322, 5) = 1
LCM(2322, 5) = ( 2322 x 5 ) / 1
LCM(2322, 5) = 11610 / 1
LCM(2322, 5) = 11610
LCM of 27,43,2,5 is 11610
The least common Multiple (LCM) is: 11610.
Rewriting as equivalent fractions with the LCM:
= 31820/11610,18630/11610,34830/11610,27864/11610
= 31820+18630+34830+27864/11610
Totaling the numerator:
113144/11610
Reducing the fraction:
56572/5805
Dividing by the number of values: 4
The given fractions are 56572/5805 and 4/1
On dividing the both fractions,56572/5805 ÷ 4/1
Then the denominator of the first fraction i.e., 5805 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:
56572/5805 ÷ 4/1 = 56572 x 1/5805 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
56572/23220
Result: 14143/5805
Average of fraction = 14143/5805
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FAQs on Average of Fractions 74/27, 69/43, 6/2, 2 4/10
1. What is the average of fractions 74/27, 69/43, 6/2, 2 4/10 ?
Average of Fractions is 14143/5805
2. How to find the Average of Fractions 74/27, 69/43, 6/2, 2 4/10 ?
Set up an addition equation with the given fractions 74/27, 69/43, 6/2, 2 4/10 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 74/27, 69/43, 6/2, 2 4/10 ?
You can find the elaborate solution to find the Average of Fractions 74/27, 69/43, 6/2, 2 4/10 on our page.