3/84, 61/36, 1 2/68 Fractions Average Calculator
3/84, 61/36, 1 2/68 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 3/84, 61/36, 1 2/68
Given fractions are 3/84,61/36,35/34
The LCM of 84,36,34 (denominators of the fractions) is 4284
Arrange the Inputs 84,36,34 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 | 84, 36, 34 |
| 2 | 42, 18, 17 |
| 3 | 21, 9, 17 |
| 7, 3, 17 |
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 2 x 3 x 7 x 3 x 17 = 4284
Therefore, LCM of 84,36,34 is 4284
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(84, 36) = 12
LCM(84, 36) = ( 84 x 36 ) / 12
LCM(84, 36) = 3024 / 12
LCM(84, 36) = 252
Step2:
Here we consider the LCM from the above i.e. 252 as first number and the next as 34
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(252, 34) = 2
LCM(252, 34) = ( 252 x 34 ) / 2
LCM(252, 34) = 8568 / 2
LCM(252, 34) = 4284
LCM of 84,36,34 is 4284
The least common Multiple (LCM) is: 4284.
Rewriting as equivalent fractions with the LCM:
= 153/4284,7259/4284,4410/4284
= 153+7259+4410/4284
Totaling the numerator:
11822/4284
Reducing the fraction:
5911/2142
Dividing by the number of values: 3
The given fractions are 5911/2142 and 3/1
On dividing the both fractions,5911/2142 ÷ 3/1
Then the denominator of the first fraction i.e., 2142 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:
5911/2142 ÷ 3/1 = 5911 x 1/2142 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
5911/6426
Result: 5911/6426
Average of fraction = 5911/6426
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FAQs on Average of Fractions 3/84, 61/36, 1 2/68
1. What is the average of fractions 3/84, 61/36, 1 2/68 ?
Average of Fractions is 5911/6426
2. How to find the Average of Fractions 3/84, 61/36, 1 2/68 ?
Set up an addition equation with the given fractions 3/84, 61/36, 1 2/68 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 3/84, 61/36, 1 2/68 ?
You can find the elaborate solution to find the Average of Fractions 3/84, 61/36, 1 2/68 on our page.