5/23, 74/75, 7 2/69 Fractions Average Calculator
5/23, 74/75, 7 2/69 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 5/23, 74/75, 7 2/69
Given fractions are 5/23,74/75,485/69
The LCM of 23,75,69 (denominators of the fractions) is 1725
Arrange the Inputs 23,75,69 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 | 23, 75, 69 |
| 23 | 23, 25, 23 |
| 1, 25, 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 23 x 1 x 25 x 1 = 1725
Therefore, LCM of 23,75,69 is 1725
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(23, 75) = 1
LCM(23, 75) = ( 23 x 75 ) / 1
LCM(23, 75) = 1725 / 1
LCM(23, 75) = 1725
Step2:
Here we consider the LCM from the above i.e. 1725 as first number and the next as 69
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1725, 69) = 69
LCM(1725, 69) = ( 1725 x 69 ) / 69
LCM(1725, 69) = 119025 / 69
LCM(1725, 69) = 1725
LCM of 23,75,69 is 1725
The least common Multiple (LCM) is: 1725.
Rewriting as equivalent fractions with the LCM:
= 375/1725,1702/1725,12125/1725
= 375+1702+12125/1725
Totaling the numerator:
14202/1725
Reducing the fraction:
4734/575
Dividing by the number of values: 3
The given fractions are 4734/575 and 3/1
On dividing the both fractions,4734/575 ÷ 3/1
Then the denominator of the first fraction i.e., 575 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:
4734/575 ÷ 3/1 = 4734 x 1/575 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
4734/1725
Result: 1578/575
Average of fraction = 1578/575
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FAQs on Average of Fractions 5/23, 74/75, 7 2/69
1. What is the average of fractions 5/23, 74/75, 7 2/69 ?
Average of Fractions is 1578/575
2. How to find the Average of Fractions 5/23, 74/75, 7 2/69 ?
Set up an addition equation with the given fractions 5/23, 74/75, 7 2/69 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 5/23, 74/75, 7 2/69 ?
You can find the elaborate solution to find the Average of Fractions 5/23, 74/75, 7 2/69 on our page.