64/87, 99/44, 6/9, 8 9/33 Fractions Average Calculator
64/87, 99/44, 6/9, 8 9/33 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 64/87, 99/44, 6/9, 8 9/33
Given fractions are 64/87,99/44,6/9,91/11
The LCM of 87,44,9,11 (denominators of the fractions) is 11484
Arrange the Inputs 87,44,9,11 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 | 87, 44, 9, 11 |
| 11 | 29, 44, 3, 11 |
| 29, 4, 3, 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. 3 x 11 x 29 x 4 x 3 x 1 = 11484
Therefore, LCM of 87,44,9,11 is 11484
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(87, 44) = 1
LCM(87, 44) = ( 87 x 44 ) / 1
LCM(87, 44) = 3828 / 1
LCM(87, 44) = 3828
Step2:
Here we consider the LCM from the above i.e. 3828 as first number and the next as 9
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3828, 9) = 3
LCM(3828, 9) = ( 3828 x 9 ) / 3
LCM(3828, 9) = 34452 / 3
LCM(3828, 9) = 11484
Step3:
Here we consider the LCM from the above i.e. 11484 as first number and the next as 11
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(11484, 11) = 11
LCM(11484, 11) = ( 11484 x 11 ) / 11
LCM(11484, 11) = 126324 / 11
LCM(11484, 11) = 11484
LCM of 87,44,9,11 is 11484
The least common Multiple (LCM) is: 11484.
Rewriting as equivalent fractions with the LCM:
= 8448/11484,25839/11484,7656/11484,95004/11484
= 8448+25839+7656+95004/11484
Totaling the numerator:
136947/11484
Reducing the fraction:
45649/3828
Dividing by the number of values: 4
The given fractions are 45649/3828 and 4/1
On dividing the both fractions,45649/3828 ÷ 4/1
Then the denominator of the first fraction i.e., 3828 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:
45649/3828 ÷ 4/1 = 45649 x 1/3828 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
45649/15312
Result: 45649/15312
Average of fraction = 45649/15312
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 95/88 ,40/45 ,2/5,1 4/67
- Average of Fractions 42/32 ,36/43 ,3/8,6 2/88
- Average of Fractions 38/11 ,89/28 ,6/4,3 8/89
- Average of Fractions 32/40 ,71/59 ,9/7,6 5/58
- Average of Fractions 55/88 ,74/69 ,8/3,4 9/30
- Average of Fractions 68/96 ,84/47 ,9/7,8 5/66
- Average of Fractions 23/27 ,32/80 ,2/5,5 4/96
- Average of Fractions 46/90 ,26/47 ,6/5,2 6/68
- Average of Fractions 67/87 ,49/41 ,2/1,7 1/44
- Average of Fractions 10/99 ,36/70 ,1/4,4 7/28
FAQs on Average of Fractions 64/87, 99/44, 6/9, 8 9/33
1. What is the average of fractions 64/87, 99/44, 6/9, 8 9/33 ?
Average of Fractions is 45649/15312
2. How to find the Average of Fractions 64/87, 99/44, 6/9, 8 9/33 ?
Set up an addition equation with the given fractions 64/87, 99/44, 6/9, 8 9/33 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 64/87, 99/44, 6/9, 8 9/33 ?
You can find the elaborate solution to find the Average of Fractions 64/87, 99/44, 6/9, 8 9/33 on our page.