89/39, 9/8, 15/89 Fractions Average Calculator
89/39, 9/8, 15/89 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 89/39, 9/8, 15/89
Given fractions are 89/39,9/8,15/89
The LCM of 39,8,89 (denominators of the fractions) is 27768
Arrange the Inputs 39,8,89 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 27768
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(39, 8) = 1
LCM(39, 8) = ( 39 x 8 ) / 1
LCM(39, 8) = 312 / 1
LCM(39, 8) = 312
Step2:
Here we consider the LCM from the above i.e. 312 as first number and the next as 89
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(312, 89) = 1
LCM(312, 89) = ( 312 x 89 ) / 1
LCM(312, 89) = 27768 / 1
LCM(312, 89) = 27768
LCM of 39,8,89 is 27768
The least common Multiple (LCM) is: 27768.
Rewriting as equivalent fractions with the LCM:
= 63368/27768,31239/27768,4680/27768
= 63368+31239+4680/27768
Totaling the numerator:
99287/27768
Dividing by the number of values: 3
The given fractions are 99287/27768 and 3/1
On dividing the both fractions,99287/27768 ÷ 3/1
Then the denominator of the first fraction i.e., 27768 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:
99287/27768 ÷ 3/1 = 99287 x 1/27768 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
99287/83304
Result: 99287/83304
Average of fraction = 99287/83304
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FAQs on Average of Fractions 89/39, 9/8, 15/89
1. What is the average of fractions 89/39, 9/8, 15/89 ?
Average of Fractions is 99287/83304
2. How to find the Average of Fractions 89/39, 9/8, 15/89 ?
Set up an addition equation with the given fractions 89/39, 9/8, 15/89 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 89/39, 9/8, 15/89 ?
You can find the elaborate solution to find the Average of Fractions 89/39, 9/8, 15/89 on our page.