99/43, 67/27, 7/8, 2 9/36 Fractions Average Calculator
99/43, 67/27, 7/8, 2 9/36 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 99/43, 67/27, 7/8, 2 9/36
Given fractions are 99/43,67/27,7/8,9/4
The LCM of 43,27,8,4 (denominators of the fractions) is 9288
Arrange the Inputs 43,27,8,4 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 | 43, 27, 8, 4 |
| 2 | 43, 27, 4, 2 |
| 43, 27, 1, 2 |
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 2 x 43 x 27 x 1 x 2 = 9288
Therefore, LCM of 43,27,8,4 is 9288
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(43, 27) = 1
LCM(43, 27) = ( 43 x 27 ) / 1
LCM(43, 27) = 1161 / 1
LCM(43, 27) = 1161
Step2:
Here we consider the LCM from the above i.e. 1161 as first number and the next as 8
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1161, 8) = 1
LCM(1161, 8) = ( 1161 x 8 ) / 1
LCM(1161, 8) = 9288 / 1
LCM(1161, 8) = 9288
Step3:
Here we consider the LCM from the above i.e. 9288 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(9288, 4) = 4
LCM(9288, 4) = ( 9288 x 4 ) / 4
LCM(9288, 4) = 37152 / 4
LCM(9288, 4) = 9288
LCM of 43,27,8,4 is 9288
The least common Multiple (LCM) is: 9288.
Rewriting as equivalent fractions with the LCM:
= 21384/9288,23048/9288,8127/9288,20898/9288
= 21384+23048+8127+20898/9288
Totaling the numerator:
73457/9288
Dividing by the number of values: 4
The given fractions are 73457/9288 and 4/1
On dividing the both fractions,73457/9288 ÷ 4/1
Then the denominator of the first fraction i.e., 9288 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:
73457/9288 ÷ 4/1 = 73457 x 1/9288 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
73457/37152
Result: 73457/37152
Average of fraction = 73457/37152
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FAQs on Average of Fractions 99/43, 67/27, 7/8, 2 9/36
1. What is the average of fractions 99/43, 67/27, 7/8, 2 9/36 ?
Average of Fractions is 73457/37152
2. How to find the Average of Fractions 99/43, 67/27, 7/8, 2 9/36 ?
Set up an addition equation with the given fractions 99/43, 67/27, 7/8, 2 9/36 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 99/43, 67/27, 7/8, 2 9/36 ?
You can find the elaborate solution to find the Average of Fractions 99/43, 67/27, 7/8, 2 9/36 on our page.