85/84, 9/8, 19/46 Fractions Average Calculator
85/84, 9/8, 19/46 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 85/84, 9/8, 19/46
Given fractions are 85/84,9/8,19/46
The LCM of 84,8,46 (denominators of the fractions) is 3864
Arrange the Inputs 84,8,46 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 | 84, 8, 46 |
| 2 | 42, 4, 23 |
| 21, 2, 23 |
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 2 x 21 x 2 x 23 = 3864
Therefore, LCM of 84,8,46 is 3864
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(84, 8) = 4
LCM(84, 8) = ( 84 x 8 ) / 4
LCM(84, 8) = 672 / 4
LCM(84, 8) = 168
Step2:
Here we consider the LCM from the above i.e. 168 as first number and the next as 46
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(168, 46) = 2
LCM(168, 46) = ( 168 x 46 ) / 2
LCM(168, 46) = 7728 / 2
LCM(168, 46) = 3864
LCM of 84,8,46 is 3864
The least common Multiple (LCM) is: 3864.
Rewriting as equivalent fractions with the LCM:
= 3910/3864,4347/3864,1596/3864
= 3910+4347+1596/3864
Totaling the numerator:
9853/3864
Dividing by the number of values: 3
The given fractions are 9853/3864 and 3/1
On dividing the both fractions,9853/3864 ÷ 3/1
Then the denominator of the first fraction i.e., 3864 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:
9853/3864 ÷ 3/1 = 9853 x 1/3864 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
9853/11592
Result: 9853/11592
Average of fraction = 9853/11592
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FAQs on Average of Fractions 85/84, 9/8, 19/46
1. What is the average of fractions 85/84, 9/8, 19/46 ?
Average of Fractions is 9853/11592
2. How to find the Average of Fractions 85/84, 9/8, 19/46 ?
Set up an addition equation with the given fractions 85/84, 9/8, 19/46 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 85/84, 9/8, 19/46 ?
You can find the elaborate solution to find the Average of Fractions 85/84, 9/8, 19/46 on our page.