55/76, 4/2, 90/43 Fractions Average Calculator
55/76, 4/2, 90/43 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 55/76, 4/2, 90/43
Given fractions are 55/76,4/2,90/43
The LCM of 76,2,43 (denominators of the fractions) is 3268
Arrange the Inputs 76,2,43 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 | 76, 2, 43 |
| 38, 1, 43 |
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 38 x 1 x 43 = 3268
Therefore, LCM of 76,2,43 is 3268
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(76, 2) = 2
LCM(76, 2) = ( 76 x 2 ) / 2
LCM(76, 2) = 152 / 2
LCM(76, 2) = 76
Step2:
Here we consider the LCM from the above i.e. 76 as first number and the next as 43
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(76, 43) = 1
LCM(76, 43) = ( 76 x 43 ) / 1
LCM(76, 43) = 3268 / 1
LCM(76, 43) = 3268
LCM of 76,2,43 is 3268
The least common Multiple (LCM) is: 3268.
Rewriting as equivalent fractions with the LCM:
= 2365/3268,6536/3268,6840/3268
= 2365+6536+6840/3268
Totaling the numerator:
15741/3268
Dividing by the number of values: 3
The given fractions are 15741/3268 and 3/1
On dividing the both fractions,15741/3268 ÷ 3/1
Then the denominator of the first fraction i.e., 3268 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:
15741/3268 ÷ 3/1 = 15741 x 1/3268 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
15741/9804
Result: 5247/3268
Average of fraction = 5247/3268
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FAQs on Average of Fractions 55/76, 4/2, 90/43
1. What is the average of fractions 55/76, 4/2, 90/43 ?
Average of Fractions is 5247/3268
2. How to find the Average of Fractions 55/76, 4/2, 90/43 ?
Set up an addition equation with the given fractions 55/76, 4/2, 90/43 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 55/76, 4/2, 90/43 ?
You can find the elaborate solution to find the Average of Fractions 55/76, 4/2, 90/43 on our page.