43/46, 88/15, 4/3, 8 3/41 Fractions Average Calculator
43/46, 88/15, 4/3, 8 3/41 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 43/46, 88/15, 4/3, 8 3/41
Given fractions are 43/46,88/15,4/3,331/41
The LCM of 46,15,3,41 (denominators of the fractions) is 28290
Arrange the Inputs 46,15,3,41 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 | 46, 15, 3, 41 |
| 46, 5, 1, 41 |
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 46 x 5 x 1 x 41 = 28290
Therefore, LCM of 46,15,3,41 is 28290
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(46, 15) = 1
LCM(46, 15) = ( 46 x 15 ) / 1
LCM(46, 15) = 690 / 1
LCM(46, 15) = 690
Step2:
Here we consider the LCM from the above i.e. 690 as first number and the next as 3
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(690, 3) = 3
LCM(690, 3) = ( 690 x 3 ) / 3
LCM(690, 3) = 2070 / 3
LCM(690, 3) = 690
Step3:
Here we consider the LCM from the above i.e. 690 as first number and the next as 41
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(690, 41) = 1
LCM(690, 41) = ( 690 x 41 ) / 1
LCM(690, 41) = 28290 / 1
LCM(690, 41) = 28290
LCM of 46,15,3,41 is 28290
The least common Multiple (LCM) is: 28290.
Rewriting as equivalent fractions with the LCM:
= 26445/28290,165968/28290,37720/28290,228390/28290
= 26445+165968+37720+228390/28290
Totaling the numerator:
458523/28290
Reducing the fraction:
152841/9430
Dividing by the number of values: 4
The given fractions are 152841/9430 and 4/1
On dividing the both fractions,152841/9430 ÷ 4/1
Then the denominator of the first fraction i.e., 9430 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:
152841/9430 ÷ 4/1 = 152841 x 1/9430 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
152841/37720
Result: 152841/37720
Average of fraction = 152841/37720
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FAQs on Average of Fractions 43/46, 88/15, 4/3, 8 3/41
1. What is the average of fractions 43/46, 88/15, 4/3, 8 3/41 ?
Average of Fractions is 152841/37720
2. How to find the Average of Fractions 43/46, 88/15, 4/3, 8 3/41 ?
Set up an addition equation with the given fractions 43/46, 88/15, 4/3, 8 3/41 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 43/46, 88/15, 4/3, 8 3/41 ?
You can find the elaborate solution to find the Average of Fractions 43/46, 88/15, 4/3, 8 3/41 on our page.