55/13, 44/38, 4/9, 5 1/4 Fractions Average Calculator
55/13, 44/38, 4/9, 5 1/4 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 55/13, 44/38, 4/9, 5 1/4
Given fractions are 55/13,44/38,4/9,21/4
The LCM of 13,38,9,4 (denominators of the fractions) is 8892
Arrange the Inputs 13,38,9,4 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 | 13, 38, 9, 4 |
| 13, 19, 9, 2 |
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 13 x 19 x 9 x 2 = 8892
Therefore, LCM of 13,38,9,4 is 8892
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(13, 38) = 1
LCM(13, 38) = ( 13 x 38 ) / 1
LCM(13, 38) = 494 / 1
LCM(13, 38) = 494
Step2:
Here we consider the LCM from the above i.e. 494 as first number and the next as 9
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(494, 9) = 1
LCM(494, 9) = ( 494 x 9 ) / 1
LCM(494, 9) = 4446 / 1
LCM(494, 9) = 4446
Step3:
Here we consider the LCM from the above i.e. 4446 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(4446, 4) = 2
LCM(4446, 4) = ( 4446 x 4 ) / 2
LCM(4446, 4) = 17784 / 2
LCM(4446, 4) = 8892
LCM of 13,38,9,4 is 8892
The least common Multiple (LCM) is: 8892.
Rewriting as equivalent fractions with the LCM:
= 37620/8892,10296/8892,3952/8892,46683/8892
= 37620+10296+3952+46683/8892
Totaling the numerator:
98551/8892
Dividing by the number of values: 4
The given fractions are 98551/8892 and 4/1
On dividing the both fractions,98551/8892 ÷ 4/1
Then the denominator of the first fraction i.e., 8892 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:
98551/8892 ÷ 4/1 = 98551 x 1/8892 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
98551/35568
Result: 98551/35568
Average of fraction = 98551/35568
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FAQs on Average of Fractions 55/13, 44/38, 4/9, 5 1/4
1. What is the average of fractions 55/13, 44/38, 4/9, 5 1/4 ?
Average of Fractions is 98551/35568
2. How to find the Average of Fractions 55/13, 44/38, 4/9, 5 1/4 ?
Set up an addition equation with the given fractions 55/13, 44/38, 4/9, 5 1/4 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 55/13, 44/38, 4/9, 5 1/4 ?
You can find the elaborate solution to find the Average of Fractions 55/13, 44/38, 4/9, 5 1/4 on our page.