6/22, 20/97, 4 7/5 Fractions Average Calculator
6/22, 20/97, 4 7/5 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 6/22, 20/97, 4 7/5
Given fractions are 6/22,20/97,27/5
The LCM of 22,97,5 (denominators of the fractions) is 10670
Arrange the Inputs 22,97,5 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 10670
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(22, 97) = 1
LCM(22, 97) = ( 22 x 97 ) / 1
LCM(22, 97) = 2134 / 1
LCM(22, 97) = 2134
Step2:
Here we consider the LCM from the above i.e. 2134 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2134, 5) = 1
LCM(2134, 5) = ( 2134 x 5 ) / 1
LCM(2134, 5) = 10670 / 1
LCM(2134, 5) = 10670
LCM of 22,97,5 is 10670
The least common Multiple (LCM) is: 10670.
Rewriting as equivalent fractions with the LCM:
= 2910/10670,2200/10670,57618/10670
= 2910+2200+57618/10670
Totaling the numerator:
62728/10670
Reducing the fraction:
31364/5335
Dividing by the number of values: 3
The given fractions are 31364/5335 and 3/1
On dividing the both fractions,31364/5335 ÷ 3/1
Then the denominator of the first fraction i.e., 5335 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:
31364/5335 ÷ 3/1 = 31364 x 1/5335 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
31364/16005
Result: 31364/16005
Average of fraction = 31364/16005
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FAQs on Average of Fractions 6/22, 20/97, 4 7/5
1. What is the average of fractions 6/22, 20/97, 4 7/5 ?
Average of Fractions is 31364/16005
2. How to find the Average of Fractions 6/22, 20/97, 4 7/5 ?
Set up an addition equation with the given fractions 6/22, 20/97, 4 7/5 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 6/22, 20/97, 4 7/5 ?
You can find the elaborate solution to find the Average of Fractions 6/22, 20/97, 4 7/5 on our page.