8 8/97, 12/97, 29/81, 9/2 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Given fractions are 784/97,12/97,29/81,9/2
Arrange the Inputs 97,97,81,2 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.
| 97 | 97, 97, 81, 2 |
| 1, 1, 81, 2 |
As all the numbers left in the last row are co primes you need not do the common division process further.
To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 97 x 1 x 1 x 81 x 2 = 15714
Therefore, LCM of 97,97,81,2 is 15714
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(97, 97) = 97
LCM(97, 97) = ( 97 x 97 ) / 97
LCM(97, 97) = 9409 / 97
LCM(97, 97) = 97
Step2:
Here we consider the LCM from the above i.e. 97 as first number and the next as 81
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(97, 81) = 1
LCM(97, 81) = ( 97 x 81 ) / 1
LCM(97, 81) = 7857 / 1
LCM(97, 81) = 7857
Step3:
Here we consider the LCM from the above i.e. 7857 as first number and the next as 2
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(7857, 2) = 1
LCM(7857, 2) = ( 7857 x 2 ) / 1
LCM(7857, 2) = 15714 / 1
LCM(7857, 2) = 15714
LCM of 97,97,81,2 is 15714
The least common Multiple (LCM) is: 15714.
Rewriting as equivalent fractions with the LCM:
= 127008/15714,1944/15714,5626/15714,70713/15714
= 127008+1944+5626+70713/15714
Totaling the numerator:
205291/15714
Dividing by the number of values: 4
The given fractions are 205291/15714 and 4/1
On dividing the both fractions,205291/15714 ÷ 4/1
Then the denominator of the first fraction i.e., 15714 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:
205291/15714 ÷ 4/1 = 205291 x 1/15714 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
205291/62856
Result: 205291/62856
Average of fraction = 205291/62856
Here are some samples of Average of Fractions calculations.
1. What is the average of fractions 8 8/97, 12/97, 29/81, 9/2 ?
Average of Fractions is 205291/62856
2. How to find the Average of Fractions 8 8/97, 12/97, 29/81, 9/2 ?
Set up an addition equation with the given fractions 8 8/97, 12/97, 29/81, 9/2 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 8 8/97, 12/97, 29/81, 9/2 ?
You can find the elaborate solution to find the Average of Fractions 8 8/97, 12/97, 29/81, 9/2 on our page.