21/66, 9/8, 78/49 Fractions Average Calculator
21/66, 9/8, 78/49 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 21/66, 9/8, 78/49
Given fractions are 21/66,9/8,78/49
The LCM of 66,8,49 (denominators of the fractions) is 12936
Arrange the Inputs 66,8,49 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 | 66, 8, 49 |
| 33, 4, 49 |
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 33 x 4 x 49 = 12936
Therefore, LCM of 66,8,49 is 12936
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(66, 8) = 2
LCM(66, 8) = ( 66 x 8 ) / 2
LCM(66, 8) = 528 / 2
LCM(66, 8) = 264
Step2:
Here we consider the LCM from the above i.e. 264 as first number and the next as 49
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(264, 49) = 1
LCM(264, 49) = ( 264 x 49 ) / 1
LCM(264, 49) = 12936 / 1
LCM(264, 49) = 12936
LCM of 66,8,49 is 12936
The least common Multiple (LCM) is: 12936.
Rewriting as equivalent fractions with the LCM:
= 4116/12936,14553/12936,20592/12936
= 4116+14553+20592/12936
Totaling the numerator:
39261/12936
Reducing the fraction:
13087/4312
Dividing by the number of values: 3
The given fractions are 13087/4312 and 3/1
On dividing the both fractions,13087/4312 ÷ 3/1
Then the denominator of the first fraction i.e., 4312 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:
13087/4312 ÷ 3/1 = 13087 x 1/4312 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
13087/12936
Result: 13087/12936
Average of fraction = 13087/12936
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FAQs on Average of Fractions 21/66, 9/8, 78/49
1. What is the average of fractions 21/66, 9/8, 78/49 ?
Average of Fractions is 13087/12936
2. How to find the Average of Fractions 21/66, 9/8, 78/49 ?
Set up an addition equation with the given fractions 21/66, 9/8, 78/49 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 21/66, 9/8, 78/49 ?
You can find the elaborate solution to find the Average of Fractions 21/66, 9/8, 78/49 on our page.