31/71, 84/56, 2/6, 3 3/14 Fractions Average Calculator
31/71, 84/56, 2/6, 3 3/14 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 31/71, 84/56, 2/6, 3 3/14
Given fractions are 31/71,84/56,2/6,45/14
The LCM of 71,56,6,14 (denominators of the fractions) is 11928
Arrange the Inputs 71,56,6,14 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 | 71, 56, 6, 14 |
7 | 71, 28, 3, 7 |
71, 4, 3, 1 |
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 7 x 71 x 4 x 3 x 1 = 11928
Therefore, LCM of 71,56,6,14 is 11928
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(71, 56) = 1
LCM(71, 56) = ( 71 x 56 ) / 1
LCM(71, 56) = 3976 / 1
LCM(71, 56) = 3976
Step2:
Here we consider the LCM from the above i.e. 3976 as first number and the next as 6
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3976, 6) = 2
LCM(3976, 6) = ( 3976 x 6 ) / 2
LCM(3976, 6) = 23856 / 2
LCM(3976, 6) = 11928
Step3:
Here we consider the LCM from the above i.e. 11928 as first number and the next as 14
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(11928, 14) = 14
LCM(11928, 14) = ( 11928 x 14 ) / 14
LCM(11928, 14) = 166992 / 14
LCM(11928, 14) = 11928
LCM of 71,56,6,14 is 11928
The least common Multiple (LCM) is: 11928.
Rewriting as equivalent fractions with the LCM:
= 5208/11928,17892/11928,3976/11928,38340/11928
= 5208+17892+3976+38340/11928
Totaling the numerator:
65416/11928
Reducing the fraction:
8177/1491
Dividing by the number of values: 4
The given fractions are 8177/1491 and 4/1
On dividing the both fractions,8177/1491 ÷ 4/1
Then the denominator of the first fraction i.e., 1491 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:
8177/1491 ÷ 4/1 = 8177 x 1/1491 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
8177/5964
Result: 8177/5964
Average of fraction = 8177/5964
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 58/54 ,84/22 ,2/2,4 9/10
- Average of Fractions 93/26 ,41/11 ,6/3,2 8/84
- Average of Fractions 62/42 ,14/82 ,9/8,9 8/89
- Average of Fractions 21/60 ,58/48 ,5/3,8 5/30
- Average of Fractions 76/77 ,80/61 ,8/2,7 4/37
- Average of Fractions 45/46 ,24/21 ,5/9,1 2/21
- Average of Fractions 25/95 ,93/24 ,5/5,9 4/39
- Average of Fractions 91/46 ,73/37 ,2/2,2 6/58
- Average of Fractions 66/95 ,61/82 ,4/6,6 6/16
- Average of Fractions 57/38 ,79/66 ,8/3,8 8/55
FAQs on Average of Fractions 31/71, 84/56, 2/6, 3 3/14
1. What is the average of fractions 31/71, 84/56, 2/6, 3 3/14 ?
Average of Fractions is 8177/5964
2. How to find the Average of Fractions 31/71, 84/56, 2/6, 3 3/14 ?
Set up an addition equation with the given fractions 31/71, 84/56, 2/6, 3 3/14 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 31/71, 84/56, 2/6, 3 3/14 ?
You can find the elaborate solution to find the Average of Fractions 31/71, 84/56, 2/6, 3 3/14 on our page.