1/52, 59/34, 9 5/3 Fractions Average Calculator
1/52, 59/34, 9 5/3 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 1/52, 59/34, 9 5/3
Given fractions are 1/52,59/34,32/3
The LCM of 52,34,3 (denominators of the fractions) is 2652
Arrange the Inputs 52,34,3 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 | 52, 34, 3 |
| 26, 17, 3 |
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 26 x 17 x 3 = 2652
Therefore, LCM of 52,34,3 is 2652
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(52, 34) = 2
LCM(52, 34) = ( 52 x 34 ) / 2
LCM(52, 34) = 1768 / 2
LCM(52, 34) = 884
Step2:
Here we consider the LCM from the above i.e. 884 as first number and the next as 3
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(884, 3) = 1
LCM(884, 3) = ( 884 x 3 ) / 1
LCM(884, 3) = 2652 / 1
LCM(884, 3) = 2652
LCM of 52,34,3 is 2652
The least common Multiple (LCM) is: 2652.
Rewriting as equivalent fractions with the LCM:
= 51/2652,4602/2652,28288/2652
= 51+4602+28288/2652
Totaling the numerator:
32941/2652
Dividing by the number of values: 3
The given fractions are 32941/2652 and 3/1
On dividing the both fractions,32941/2652 ÷ 3/1
Then the denominator of the first fraction i.e., 2652 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:
32941/2652 ÷ 3/1 = 32941 x 1/2652 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
32941/7956
Result: 32941/7956
Average of fraction = 32941/7956
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FAQs on Average of Fractions 1/52, 59/34, 9 5/3
1. What is the average of fractions 1/52, 59/34, 9 5/3 ?
Average of Fractions is 32941/7956
2. How to find the Average of Fractions 1/52, 59/34, 9 5/3 ?
Set up an addition equation with the given fractions 1/52, 59/34, 9 5/3 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 1/52, 59/34, 9 5/3 ?
You can find the elaborate solution to find the Average of Fractions 1/52, 59/34, 9 5/3 on our page.