72/23, 7/7, 40/34 Fractions Average Calculator
72/23, 7/7, 40/34 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 72/23, 7/7, 40/34
Given fractions are 72/23,7/7,40/34
The LCM of 23,7,34 (denominators of the fractions) is 5474
Arrange the Inputs 23,7,34 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.
Given numbers has no common factors except 1. So, there LCM is their product i.e 5474
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, 7) = 1
LCM(23, 7) = ( 23 x 7 ) / 1
LCM(23, 7) = 161 / 1
LCM(23, 7) = 161
Step2:
Here we consider the LCM from the above i.e. 161 as first number and the next as 34
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(161, 34) = 1
LCM(161, 34) = ( 161 x 34 ) / 1
LCM(161, 34) = 5474 / 1
LCM(161, 34) = 5474
LCM of 23,7,34 is 5474
The least common Multiple (LCM) is: 5474.
Rewriting as equivalent fractions with the LCM:
= 17136/5474,5474/5474,6440/5474
= 17136+5474+6440/5474
Totaling the numerator:
29050/5474
Reducing the fraction:
2075/391
Dividing by the number of values: 3
The given fractions are 2075/391 and 3/1
On dividing the both fractions,2075/391 ÷ 3/1
Then the denominator of the first fraction i.e., 391 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:
2075/391 ÷ 3/1 = 2075 x 1/391 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
2075/1173
Result: 2075/1173
Average of fraction = 2075/1173
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FAQs on Average of Fractions 72/23, 7/7, 40/34
1. What is the average of fractions 72/23, 7/7, 40/34 ?
Average of Fractions is 2075/1173
2. How to find the Average of Fractions 72/23, 7/7, 40/34 ?
Set up an addition equation with the given fractions 72/23, 7/7, 40/34 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 72/23, 7/7, 40/34 ?
You can find the elaborate solution to find the Average of Fractions 72/23, 7/7, 40/34 on our page.