6/18, 65/68, 9 4/31 Fractions Average Calculator
6/18, 65/68, 9 4/31 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 6/18, 65/68, 9 4/31
Given fractions are 6/18,65/68,283/31
The LCM of 18,68,31 (denominators of the fractions) is 18972
Arrange the Inputs 18,68,31 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 | 18, 68, 31 |
| 9, 34, 31 |
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 9 x 34 x 31 = 18972
Therefore, LCM of 18,68,31 is 18972
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(18, 68) = 2
LCM(18, 68) = ( 18 x 68 ) / 2
LCM(18, 68) = 1224 / 2
LCM(18, 68) = 612
Step2:
Here we consider the LCM from the above i.e. 612 as first number and the next as 31
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(612, 31) = 1
LCM(612, 31) = ( 612 x 31 ) / 1
LCM(612, 31) = 18972 / 1
LCM(612, 31) = 18972
LCM of 18,68,31 is 18972
The least common Multiple (LCM) is: 18972.
Rewriting as equivalent fractions with the LCM:
= 6324/18972,18135/18972,173196/18972
= 6324+18135+173196/18972
Totaling the numerator:
197655/18972
Reducing the fraction:
65885/6324
Dividing by the number of values: 3
The given fractions are 65885/6324 and 3/1
On dividing the both fractions,65885/6324 ÷ 3/1
Then the denominator of the first fraction i.e., 6324 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:
65885/6324 ÷ 3/1 = 65885 x 1/6324 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
65885/18972
Result: 65885/18972
Average of fraction = 65885/18972
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FAQs on Average of Fractions 6/18, 65/68, 9 4/31
1. What is the average of fractions 6/18, 65/68, 9 4/31 ?
Average of Fractions is 65885/18972
2. How to find the Average of Fractions 6/18, 65/68, 9 4/31 ?
Set up an addition equation with the given fractions 6/18, 65/68, 9 4/31 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 6/18, 65/68, 9 4/31 ?
You can find the elaborate solution to find the Average of Fractions 6/18, 65/68, 9 4/31 on our page.