84/63, 34/23, 3/5, 8 7/5 Fractions Average Calculator
84/63, 34/23, 3/5, 8 7/5 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 84/63, 34/23, 3/5, 8 7/5
Given fractions are 84/63,34/23,3/5,47/5
The LCM of 63,23,5,5 (denominators of the fractions) is 7245
Arrange the Inputs 63,23,5,5 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.
| 5 | 63, 23, 5, 5 |
| 63, 23, 1, 1 |
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. 5 x 63 x 23 x 1 x 1 = 7245
Therefore, LCM of 63,23,5,5 is 7245
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(63, 23) = 1
LCM(63, 23) = ( 63 x 23 ) / 1
LCM(63, 23) = 1449 / 1
LCM(63, 23) = 1449
Step2:
Here we consider the LCM from the above i.e. 1449 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1449, 5) = 1
LCM(1449, 5) = ( 1449 x 5 ) / 1
LCM(1449, 5) = 7245 / 1
LCM(1449, 5) = 7245
Step3:
Here we consider the LCM from the above i.e. 7245 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(7245, 5) = 5
LCM(7245, 5) = ( 7245 x 5 ) / 5
LCM(7245, 5) = 36225 / 5
LCM(7245, 5) = 7245
LCM of 63,23,5,5 is 7245
The least common Multiple (LCM) is: 7245.
Rewriting as equivalent fractions with the LCM:
= 9660/7245,10710/7245,4347/7245,68103/7245
= 9660+10710+4347+68103/7245
Totaling the numerator:
92820/7245
Reducing the fraction:
884/69
Dividing by the number of values: 4
The given fractions are 884/69 and 4/1
On dividing the both fractions,884/69 ÷ 4/1
Then the denominator of the first fraction i.e., 69 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:
884/69 ÷ 4/1 = 884 x 1/69 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
884/276
Result: 221/69
Average of fraction = 221/69
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FAQs on Average of Fractions 84/63, 34/23, 3/5, 8 7/5
1. What is the average of fractions 84/63, 34/23, 3/5, 8 7/5 ?
Average of Fractions is 221/69
2. How to find the Average of Fractions 84/63, 34/23, 3/5, 8 7/5 ?
Set up an addition equation with the given fractions 84/63, 34/23, 3/5, 8 7/5 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 84/63, 34/23, 3/5, 8 7/5 ?
You can find the elaborate solution to find the Average of Fractions 84/63, 34/23, 3/5, 8 7/5 on our page.