54/91, 3/4, 46/38 Fractions Average Calculator
54/91, 3/4, 46/38 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 54/91, 3/4, 46/38
Given fractions are 54/91,3/4,46/38
The LCM of 91,4,38 (denominators of the fractions) is 6916
Arrange the Inputs 91,4,38 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 | 91, 4, 38 |
| 91, 2, 19 |
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 91 x 2 x 19 = 6916
Therefore, LCM of 91,4,38 is 6916
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(91, 4) = 1
LCM(91, 4) = ( 91 x 4 ) / 1
LCM(91, 4) = 364 / 1
LCM(91, 4) = 364
Step2:
Here we consider the LCM from the above i.e. 364 as first number and the next as 38
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(364, 38) = 2
LCM(364, 38) = ( 364 x 38 ) / 2
LCM(364, 38) = 13832 / 2
LCM(364, 38) = 6916
LCM of 91,4,38 is 6916
The least common Multiple (LCM) is: 6916.
Rewriting as equivalent fractions with the LCM:
= 4104/6916,5187/6916,8372/6916
= 4104+5187+8372/6916
Totaling the numerator:
17663/6916
Dividing by the number of values: 3
The given fractions are 17663/6916 and 3/1
On dividing the both fractions,17663/6916 ÷ 3/1
Then the denominator of the first fraction i.e., 6916 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:
17663/6916 ÷ 3/1 = 17663 x 1/6916 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
17663/20748
Result: 17663/20748
Average of fraction = 17663/20748
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FAQs on Average of Fractions 54/91, 3/4, 46/38
1. What is the average of fractions 54/91, 3/4, 46/38 ?
Average of Fractions is 17663/20748
2. How to find the Average of Fractions 54/91, 3/4, 46/38 ?
Set up an addition equation with the given fractions 54/91, 3/4, 46/38 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 54/91, 3/4, 46/38 ?
You can find the elaborate solution to find the Average of Fractions 54/91, 3/4, 46/38 on our page.