81/38, 15/75, 3/5, 4 8/81 Fractions Average Calculator
81/38, 15/75, 3/5, 4 8/81 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 81/38, 15/75, 3/5, 4 8/81
Given fractions are 81/38,15/75,3/5,332/81
The LCM of 38,75,5,81 (denominators of the fractions) is 76950
Arrange the Inputs 38,75,5,81 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.
| 3 | 38, 75, 5, 81 |
| 5 | 38, 25, 5, 27 |
| 38, 1, 5, 27 |
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. 3 x 5 x 38 x 1 x 5 x 27 = 76950
Therefore, LCM of 38,75,5,81 is 76950
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(38, 75) = 1
LCM(38, 75) = ( 38 x 75 ) / 1
LCM(38, 75) = 2850 / 1
LCM(38, 75) = 2850
Step2:
Here we consider the LCM from the above i.e. 2850 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2850, 5) = 5
LCM(2850, 5) = ( 2850 x 5 ) / 5
LCM(2850, 5) = 14250 / 5
LCM(2850, 5) = 2850
Step3:
Here we consider the LCM from the above i.e. 2850 as first number and the next as 81
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2850, 81) = 3
LCM(2850, 81) = ( 2850 x 81 ) / 3
LCM(2850, 81) = 230850 / 3
LCM(2850, 81) = 76950
LCM of 38,75,5,81 is 76950
The least common Multiple (LCM) is: 76950.
Rewriting as equivalent fractions with the LCM:
= 164025/76950,15390/76950,46170/76950,315400/76950
= 164025+15390+46170+315400/76950
Totaling the numerator:
540985/76950
Reducing the fraction:
108197/15390
Dividing by the number of values: 4
The given fractions are 108197/15390 and 4/1
On dividing the both fractions,108197/15390 ÷ 4/1
Then the denominator of the first fraction i.e., 15390 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:
108197/15390 ÷ 4/1 = 108197 x 1/15390 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
108197/61560
Result: 108197/61560
Average of fraction = 108197/61560
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FAQs on Average of Fractions 81/38, 15/75, 3/5, 4 8/81
1. What is the average of fractions 81/38, 15/75, 3/5, 4 8/81 ?
Average of Fractions is 108197/61560
2. How to find the Average of Fractions 81/38, 15/75, 3/5, 4 8/81 ?
Set up an addition equation with the given fractions 81/38, 15/75, 3/5, 4 8/81 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 81/38, 15/75, 3/5, 4 8/81 ?
You can find the elaborate solution to find the Average of Fractions 81/38, 15/75, 3/5, 4 8/81 on our page.