6/12, 17/86, 2 5/9 Fractions Average Calculator
6/12, 17/86, 2 5/9 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 6/12, 17/86, 2 5/9
Given fractions are 6/12,17/86,23/9
The LCM of 12,86,9 (denominators of the fractions) is 1548
Arrange the Inputs 12,86,9 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 | 12, 86, 9 |
| 3 | 6, 43, 9 |
| 2, 43, 3 |
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 3 x 2 x 43 x 3 = 1548
Therefore, LCM of 12,86,9 is 1548
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(12, 86) = 2
LCM(12, 86) = ( 12 x 86 ) / 2
LCM(12, 86) = 1032 / 2
LCM(12, 86) = 516
Step2:
Here we consider the LCM from the above i.e. 516 as first number and the next as 9
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(516, 9) = 3
LCM(516, 9) = ( 516 x 9 ) / 3
LCM(516, 9) = 4644 / 3
LCM(516, 9) = 1548
LCM of 12,86,9 is 1548
The least common Multiple (LCM) is: 1548.
Rewriting as equivalent fractions with the LCM:
= 774/1548,306/1548,3956/1548
= 774+306+3956/1548
Totaling the numerator:
5036/1548
Reducing the fraction:
1259/387
Dividing by the number of values: 3
The given fractions are 1259/387 and 3/1
On dividing the both fractions,1259/387 ÷ 3/1
Then the denominator of the first fraction i.e., 387 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:
1259/387 ÷ 3/1 = 1259 x 1/387 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
1259/1161
Result: 1259/1161
Average of fraction = 1259/1161
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 1/37 ,88/39,9 3/1
- Average of Fractions 8/49 ,71/76,9 5/2
- Average of Fractions 3/78 ,65/54,7 2/9
- Average of Fractions 7/98 ,85/26,5 5/1
- Average of Fractions 8/21 ,45/92,1 8/3
- Average of Fractions 5/80 ,38/13,5 8/4
- Average of Fractions 7/68 ,77/95,8 8/3
- Average of Fractions 4/50 ,16/16,9 3/5
- Average of Fractions 4/15 ,77/78,2 4/9
- Average of Fractions 3/40 ,41/31,5 5/7
FAQs on Average of Fractions 6/12, 17/86, 2 5/9
1. What is the average of fractions 6/12, 17/86, 2 5/9 ?
Average of Fractions is 1259/1161
2. How to find the Average of Fractions 6/12, 17/86, 2 5/9 ?
Set up an addition equation with the given fractions 6/12, 17/86, 2 5/9 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 6/12, 17/86, 2 5/9 ?
You can find the elaborate solution to find the Average of Fractions 6/12, 17/86, 2 5/9 on our page.