47/21, 8/9, 50/67 Fractions Average Calculator
47/21, 8/9, 50/67 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 47/21, 8/9, 50/67
Given fractions are 47/21,8/9,50/67
The LCM of 21,9,67 (denominators of the fractions) is 4221
Arrange the Inputs 21,9,67 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 | 21, 9, 67 |
| 7, 3, 67 |
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 7 x 3 x 67 = 4221
Therefore, LCM of 21,9,67 is 4221
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(21, 9) = 3
LCM(21, 9) = ( 21 x 9 ) / 3
LCM(21, 9) = 189 / 3
LCM(21, 9) = 63
Step2:
Here we consider the LCM from the above i.e. 63 as first number and the next as 67
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(63, 67) = 1
LCM(63, 67) = ( 63 x 67 ) / 1
LCM(63, 67) = 4221 / 1
LCM(63, 67) = 4221
LCM of 21,9,67 is 4221
The least common Multiple (LCM) is: 4221.
Rewriting as equivalent fractions with the LCM:
= 9447/4221,3752/4221,3150/4221
= 9447+3752+3150/4221
Totaling the numerator:
16349/4221
Dividing by the number of values: 3
The given fractions are 16349/4221 and 3/1
On dividing the both fractions,16349/4221 ÷ 3/1
Then the denominator of the first fraction i.e., 4221 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:
16349/4221 ÷ 3/1 = 16349 x 1/4221 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
16349/12663
Result: 16349/12663
Average of fraction = 16349/12663
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FAQs on Average of Fractions 47/21, 8/9, 50/67
1. What is the average of fractions 47/21, 8/9, 50/67 ?
Average of Fractions is 16349/12663
2. How to find the Average of Fractions 47/21, 8/9, 50/67 ?
Set up an addition equation with the given fractions 47/21, 8/9, 50/67 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 47/21, 8/9, 50/67 ?
You can find the elaborate solution to find the Average of Fractions 47/21, 8/9, 50/67 on our page.