28/71, 81/42, 6/4, 8 7/78 Fractions Average Calculator
28/71, 81/42, 6/4, 8 7/78 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 28/71, 81/42, 6/4, 8 7/78
Given fractions are 28/71,81/42,6/4,631/78
The LCM of 71,42,4,78 (denominators of the fractions) is 77532
Arrange the Inputs 71,42,4,78 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, 42, 4, 78 |
| 3 | 71, 21, 2, 39 |
| 71, 7, 2, 13 |
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 3 x 71 x 7 x 2 x 13 = 77532
Therefore, LCM of 71,42,4,78 is 77532
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, 42) = 1
LCM(71, 42) = ( 71 x 42 ) / 1
LCM(71, 42) = 2982 / 1
LCM(71, 42) = 2982
Step2:
Here we consider the LCM from the above i.e. 2982 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2982, 4) = 2
LCM(2982, 4) = ( 2982 x 4 ) / 2
LCM(2982, 4) = 11928 / 2
LCM(2982, 4) = 5964
Step3:
Here we consider the LCM from the above i.e. 5964 as first number and the next as 78
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(5964, 78) = 6
LCM(5964, 78) = ( 5964 x 78 ) / 6
LCM(5964, 78) = 465192 / 6
LCM(5964, 78) = 77532
LCM of 71,42,4,78 is 77532
The least common Multiple (LCM) is: 77532.
Rewriting as equivalent fractions with the LCM:
= 30576/77532,149526/77532,116298/77532,627214/77532
= 30576+149526+116298+627214/77532
Totaling the numerator:
923614/77532
Reducing the fraction:
461807/38766
Dividing by the number of values: 4
The given fractions are 461807/38766 and 4/1
On dividing the both fractions,461807/38766 ÷ 4/1
Then the denominator of the first fraction i.e., 38766 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:
461807/38766 ÷ 4/1 = 461807 x 1/38766 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
461807/155064
Result: 461807/155064
Average of fraction = 461807/155064
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FAQs on Average of Fractions 28/71, 81/42, 6/4, 8 7/78
1. What is the average of fractions 28/71, 81/42, 6/4, 8 7/78 ?
Average of Fractions is 461807/155064
2. How to find the Average of Fractions 28/71, 81/42, 6/4, 8 7/78 ?
Set up an addition equation with the given fractions 28/71, 81/42, 6/4, 8 7/78 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 28/71, 81/42, 6/4, 8 7/78 ?
You can find the elaborate solution to find the Average of Fractions 28/71, 81/42, 6/4, 8 7/78 on our page.