29/57, 22/72, 1/1, 8 2/9 Fractions Average Calculator
29/57, 22/72, 1/1, 8 2/9 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 29/57, 22/72, 1/1, 8 2/9
Given fractions are 29/57,22/72,1/1,74/9
The LCM of 57,72,1,9 (denominators of the fractions) is 1368
Arrange the Inputs 57,72,1,9 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.
| 3 | 57, 72, 1, 9 |
| 3 | 19, 24, 1, 3 |
| 19, 8, 1, 1 |
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. 3 x 3 x 19 x 8 x 1 x 1 = 1368
Therefore, LCM of 57,72,1,9 is 1368
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(57, 72) = 3
LCM(57, 72) = ( 57 x 72 ) / 3
LCM(57, 72) = 4104 / 3
LCM(57, 72) = 1368
Step2:
Here we consider the LCM from the above i.e. 1368 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1368, 1) = 1
LCM(1368, 1) = ( 1368 x 1 ) / 1
LCM(1368, 1) = 1368 / 1
LCM(1368, 1) = 1368
Step3:
Here we consider the LCM from the above i.e. 1368 as first number and the next as 9
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1368, 9) = 9
LCM(1368, 9) = ( 1368 x 9 ) / 9
LCM(1368, 9) = 12312 / 9
LCM(1368, 9) = 1368
LCM of 57,72,1,9 is 1368
The least common Multiple (LCM) is: 1368.
Rewriting as equivalent fractions with the LCM:
= 696/1368,418/1368,1368/1368,11248/1368
= 696+418+1368+11248/1368
Totaling the numerator:
13730/1368
Reducing the fraction:
6865/684
Dividing by the number of values: 4
The given fractions are 6865/684 and 4/1
On dividing the both fractions,6865/684 ÷ 4/1
Then the denominator of the first fraction i.e., 684 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:
6865/684 ÷ 4/1 = 6865 x 1/684 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
6865/2736
Result: 6865/2736
Average of fraction = 6865/2736
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FAQs on Average of Fractions 29/57, 22/72, 1/1, 8 2/9
1. What is the average of fractions 29/57, 22/72, 1/1, 8 2/9 ?
Average of Fractions is 6865/2736
2. How to find the Average of Fractions 29/57, 22/72, 1/1, 8 2/9 ?
Set up an addition equation with the given fractions 29/57, 22/72, 1/1, 8 2/9 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 29/57, 22/72, 1/1, 8 2/9 ?
You can find the elaborate solution to find the Average of Fractions 29/57, 22/72, 1/1, 8 2/9 on our page.