4 3/26, 46/92, 97/57, 7/6 Fractions Average Calculator
4 3/26, 46/92, 97/57, 7/6 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 4 3/26, 46/92, 97/57, 7/6
Given fractions are 107/26,46/92,97/57,7/6
The LCM of 26,92,57,6 (denominators of the fractions) is 68172
Arrange the Inputs 26,92,57,6 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 | 26, 92, 57, 6 |
| 3 | 13, 46, 57, 3 |
| 13, 46, 19, 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. 2 x 3 x 13 x 46 x 19 x 1 = 68172
Therefore, LCM of 26,92,57,6 is 68172
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(26, 92) = 2
LCM(26, 92) = ( 26 x 92 ) / 2
LCM(26, 92) = 2392 / 2
LCM(26, 92) = 1196
Step2:
Here we consider the LCM from the above i.e. 1196 as first number and the next as 57
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1196, 57) = 1
LCM(1196, 57) = ( 1196 x 57 ) / 1
LCM(1196, 57) = 68172 / 1
LCM(1196, 57) = 68172
Step3:
Here we consider the LCM from the above i.e. 68172 as first number and the next as 6
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(68172, 6) = 6
LCM(68172, 6) = ( 68172 x 6 ) / 6
LCM(68172, 6) = 409032 / 6
LCM(68172, 6) = 68172
LCM of 26,92,57,6 is 68172
The least common Multiple (LCM) is: 68172.
Rewriting as equivalent fractions with the LCM:
= 280554/68172,34086/68172,116012/68172,79534/68172
= 280554+34086+116012+79534/68172
Totaling the numerator:
510186/68172
Reducing the fraction:
3697/494
Dividing by the number of values: 4
The given fractions are 3697/494 and 4/1
On dividing the both fractions,3697/494 ÷ 4/1
Then the denominator of the first fraction i.e., 494 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:
3697/494 ÷ 4/1 = 3697 x 1/494 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
3697/1976
Result: 3697/1976
Average of fraction = 3697/1976
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FAQs on Average of Fractions 4 3/26, 46/92, 97/57, 7/6
1. What is the average of fractions 4 3/26, 46/92, 97/57, 7/6 ?
Average of Fractions is 3697/1976
2. How to find the Average of Fractions 4 3/26, 46/92, 97/57, 7/6 ?
Set up an addition equation with the given fractions 4 3/26, 46/92, 97/57, 7/6 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 4 3/26, 46/92, 97/57, 7/6 ?
You can find the elaborate solution to find the Average of Fractions 4 3/26, 46/92, 97/57, 7/6 on our page.