26/97, 7/6, 28/72 Fractions Average Calculator
26/97, 7/6, 28/72 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 26/97, 7/6, 28/72
Given fractions are 26/97,7/6,28/72
The LCM of 97,6,72 (denominators of the fractions) is 6984
Arrange the Inputs 97,6,72 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 | 97, 6, 72 |
| 3 | 97, 3, 36 |
| 97, 1, 12 |
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 97 x 1 x 12 = 6984
Therefore, LCM of 97,6,72 is 6984
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, 6) = 1
LCM(97, 6) = ( 97 x 6 ) / 1
LCM(97, 6) = 582 / 1
LCM(97, 6) = 582
Step2:
Here we consider the LCM from the above i.e. 582 as first number and the next as 72
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(582, 72) = 6
LCM(582, 72) = ( 582 x 72 ) / 6
LCM(582, 72) = 41904 / 6
LCM(582, 72) = 6984
LCM of 97,6,72 is 6984
The least common Multiple (LCM) is: 6984.
Rewriting as equivalent fractions with the LCM:
= 1872/6984,8148/6984,2716/6984
= 1872+8148+2716/6984
Totaling the numerator:
12736/6984
Reducing the fraction:
1592/873
Dividing by the number of values: 3
The given fractions are 1592/873 and 3/1
On dividing the both fractions,1592/873 ÷ 3/1
Then the denominator of the first fraction i.e., 873 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:
1592/873 ÷ 3/1 = 1592 x 1/873 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
1592/2619
Result: 1592/2619
Average of fraction = 1592/2619
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FAQs on Average of Fractions 26/97, 7/6, 28/72
1. What is the average of fractions 26/97, 7/6, 28/72 ?
Average of Fractions is 1592/2619
2. How to find the Average of Fractions 26/97, 7/6, 28/72 ?
Set up an addition equation with the given fractions 26/97, 7/6, 28/72 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 26/97, 7/6, 28/72 ?
You can find the elaborate solution to find the Average of Fractions 26/97, 7/6, 28/72 on our page.