20/29, 79/68, 9/8, 2 5/80 Fractions Average Calculator
20/29, 79/68, 9/8, 2 5/80 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 20/29, 79/68, 9/8, 2 5/80
Given fractions are 20/29,79/68,9/8,33/16
The LCM of 29,68,8,16 (denominators of the fractions) is 7888
Arrange the Inputs 29,68,8,16 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.
| 2 | 29, 68, 8, 16 |
| 2 | 29, 34, 4, 8 |
| 2 | 29, 17, 2, 4 |
| 29, 17, 1, 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. 2 x 2 x 2 x 29 x 17 x 1 x 2 = 7888
Therefore, LCM of 29,68,8,16 is 7888
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(29, 68) = 1
LCM(29, 68) = ( 29 x 68 ) / 1
LCM(29, 68) = 1972 / 1
LCM(29, 68) = 1972
Step2:
Here we consider the LCM from the above i.e. 1972 as first number and the next as 8
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1972, 8) = 4
LCM(1972, 8) = ( 1972 x 8 ) / 4
LCM(1972, 8) = 15776 / 4
LCM(1972, 8) = 3944
Step3:
Here we consider the LCM from the above i.e. 3944 as first number and the next as 16
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3944, 16) = 8
LCM(3944, 16) = ( 3944 x 16 ) / 8
LCM(3944, 16) = 63104 / 8
LCM(3944, 16) = 7888
LCM of 29,68,8,16 is 7888
The least common Multiple (LCM) is: 7888.
Rewriting as equivalent fractions with the LCM:
= 5440/7888,9164/7888,8874/7888,16269/7888
= 5440+9164+8874+16269/7888
Totaling the numerator:
39747/7888
Dividing by the number of values: 4
The given fractions are 39747/7888 and 4/1
On dividing the both fractions,39747/7888 ÷ 4/1
Then the denominator of the first fraction i.e., 7888 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:
39747/7888 ÷ 4/1 = 39747 x 1/7888 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
39747/31552
Result: 39747/31552
Average of fraction = 39747/31552
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FAQs on Average of Fractions 20/29, 79/68, 9/8, 2 5/80
1. What is the average of fractions 20/29, 79/68, 9/8, 2 5/80 ?
Average of Fractions is 39747/31552
2. How to find the Average of Fractions 20/29, 79/68, 9/8, 2 5/80 ?
Set up an addition equation with the given fractions 20/29, 79/68, 9/8, 2 5/80 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 20/29, 79/68, 9/8, 2 5/80 ?
You can find the elaborate solution to find the Average of Fractions 20/29, 79/68, 9/8, 2 5/80 on our page.