42/73, 74/58, 2/1, 6 5/94 Fractions Average Calculator
42/73, 74/58, 2/1, 6 5/94 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 42/73, 74/58, 2/1, 6 5/94
Given fractions are 42/73,74/58,2/1,569/94
The LCM of 73,58,1,94 (denominators of the fractions) is 198998
Arrange the Inputs 73,58,1,94 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 | 73, 58, 1, 94 |
| 73, 29, 1, 47 |
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 73 x 29 x 1 x 47 = 198998
Therefore, LCM of 73,58,1,94 is 198998
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(73, 58) = 1
LCM(73, 58) = ( 73 x 58 ) / 1
LCM(73, 58) = 4234 / 1
LCM(73, 58) = 4234
Step2:
Here we consider the LCM from the above i.e. 4234 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(4234, 1) = 1
LCM(4234, 1) = ( 4234 x 1 ) / 1
LCM(4234, 1) = 4234 / 1
LCM(4234, 1) = 4234
Step3:
Here we consider the LCM from the above i.e. 4234 as first number and the next as 94
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(4234, 94) = 2
LCM(4234, 94) = ( 4234 x 94 ) / 2
LCM(4234, 94) = 397996 / 2
LCM(4234, 94) = 198998
LCM of 73,58,1,94 is 198998
The least common Multiple (LCM) is: 198998.
Rewriting as equivalent fractions with the LCM:
= 114492/198998,253894/198998,397996/198998,1204573/198998
= 114492+253894+397996+1204573/198998
Totaling the numerator:
1970955/198998
Dividing by the number of values: 4
The given fractions are 1970955/198998 and 4/1
On dividing the both fractions,1970955/198998 ÷ 4/1
Then the denominator of the first fraction i.e., 198998 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:
1970955/198998 ÷ 4/1 = 1970955 x 1/198998 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
1970955/795992
Result: 1970955/795992
Average of fraction = 1970955/795992
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FAQs on Average of Fractions 42/73, 74/58, 2/1, 6 5/94
1. What is the average of fractions 42/73, 74/58, 2/1, 6 5/94 ?
Average of Fractions is 1970955/795992
2. How to find the Average of Fractions 42/73, 74/58, 2/1, 6 5/94 ?
Set up an addition equation with the given fractions 42/73, 74/58, 2/1, 6 5/94 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 42/73, 74/58, 2/1, 6 5/94 ?
You can find the elaborate solution to find the Average of Fractions 42/73, 74/58, 2/1, 6 5/94 on our page.