23/27, 32/80, 2/5, 5 4/96 Fractions Average Calculator
23/27, 32/80, 2/5, 5 4/96 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 23/27, 32/80, 2/5, 5 4/96
Given fractions are 23/27,32/80,2/5,121/24
The LCM of 27,80,5,24 (denominators of the fractions) is 2160
Arrange the Inputs 27,80,5,24 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 | 27, 80, 5, 24 |
| 2 | 27, 40, 5, 12 |
| 2 | 27, 20, 5, 6 |
| 3 | 27, 10, 5, 3 |
| 5 | 9, 10, 5, 1 |
| 9, 2, 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. 2 x 2 x 2 x 3 x 5 x 9 x 2 x 1 x 1 = 2160
Therefore, LCM of 27,80,5,24 is 2160
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(27, 80) = 1
LCM(27, 80) = ( 27 x 80 ) / 1
LCM(27, 80) = 2160 / 1
LCM(27, 80) = 2160
Step2:
Here we consider the LCM from the above i.e. 2160 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2160, 5) = 5
LCM(2160, 5) = ( 2160 x 5 ) / 5
LCM(2160, 5) = 10800 / 5
LCM(2160, 5) = 2160
Step3:
Here we consider the LCM from the above i.e. 2160 as first number and the next as 24
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2160, 24) = 24
LCM(2160, 24) = ( 2160 x 24 ) / 24
LCM(2160, 24) = 51840 / 24
LCM(2160, 24) = 2160
LCM of 27,80,5,24 is 2160
The least common Multiple (LCM) is: 2160.
Rewriting as equivalent fractions with the LCM:
= 1840/2160,864/2160,864/2160,10890/2160
= 1840+864+864+10890/2160
Totaling the numerator:
14458/2160
Reducing the fraction:
7229/1080
Dividing by the number of values: 4
The given fractions are 7229/1080 and 4/1
On dividing the both fractions,7229/1080 ÷ 4/1
Then the denominator of the first fraction i.e., 1080 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:
7229/1080 ÷ 4/1 = 7229 x 1/1080 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
7229/4320
Result: 7229/4320
Average of fraction = 7229/4320
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FAQs on Average of Fractions 23/27, 32/80, 2/5, 5 4/96
1. What is the average of fractions 23/27, 32/80, 2/5, 5 4/96 ?
Average of Fractions is 7229/4320
2. How to find the Average of Fractions 23/27, 32/80, 2/5, 5 4/96 ?
Set up an addition equation with the given fractions 23/27, 32/80, 2/5, 5 4/96 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 23/27, 32/80, 2/5, 5 4/96 ?
You can find the elaborate solution to find the Average of Fractions 23/27, 32/80, 2/5, 5 4/96 on our page.